If Boris Johnson becomes Prime Minister, he will expect every member of the Cabinet to agree with his policy of leaving the EU on 31st October, deal or no deal.

He argues in this interview that there is only a “very, very, very small possibility” of no deal actually happening, but he says that ministers “would have to be reconciled” to that possibility.

Johnson maintains that since the failure to leave on 29th March, “we’re in a different political world”, where the Brexit Party and the Liberal Democrats are “feeding like puffballs on the decay of trust in politics”.

This means “the parliamentary mood has changed” and the Commons will not vote for another extension. He considers the latter eventuality so improbable that he declines to say what he would do if it came to pass.

But he certainly does not wish to call a general election.

Johnson insists he has “a very good relationship with Ruth Davidson”, and that getting Brexit through on 31st October will strengthen the Union, as the SNP will find it very difficult to campaign for Scotland to rejoin the EU.

Asked whether he had agreed to Sajid Javid’s call for an independent inquiry into Islamophobia in the Conservative Party, Johnson said he had discussed this with Javid and “what we’ve committed to is a general investigation into all types of prejudice and discrimination including anti-semitism”.

When reminded that he used to refer to Iain Duncan Smith, who has just become chairman of his leadership campaign, as “Iain Dunkin’ Donuts”, Johnson replied:

“Did I? I think I can say that to his face and I think he would be all right. Iain is a friend. The thing I admire about Iain is he has done a fantastic amount to take the Tories on to the agenda of social justice.”

Johnson denied his campaign team is a Boys’ Club, dominated by men, and pointed to the number of women who worked for him at City Hall.

He added that “one of the things I learned from City Hall is the vital necessity of arriving with a well thought through plan, having things ready to go”.

And he said that as PM he would be “the hireling of the people” and would have no time to complete his book on Shakespeare.

ConHome: “Brexit and all that, do or die. It must be the case, must it not, that every member of your Cabinet, when you appoint them, must be committed to leaving on 31st October, deal or no deal.”

Johnson: “Yes, that will be the policy of the Government.”

ConHome: “This means an awful lot of people will be automatically excluded – Greg Clark or David Gauke or Amber Rudd – all these people who abstained rather than have no deal, they can’t sit in your Cabinet if you’re committed to leaving on 31st October.”

Johnson: “Well, I don’t believe we will get a no deal outcome. I think that people who are determined like me to leave on terms other than no deal, which I am…”

ConHome: “But they’ve got to be committed to do it if you can’t…”

Johnson: “I want obviously to have a broad range of talent in my Government, the Government that I will lead, but clearly people must be reconciled to the very, very, very small possibility, and I stress it will be a very, very small possibility, that we would have to leave on those terms.

“I don’t think it will happen but they would have to be reconciled to it.”

ConHome: “One of the reasons why we are where we are now is that you can’t have an extension if the Prime Minister doesn’t sign up to it.

“So Theresa May has twice requested an extension because she thought correctly that the Commons would vote for one.

“What are you going to do if the Commons votes for another extension?”

Johnson: “Well, um, obviously I just think we’re in a different political world to 29th March and I think the Prime Minister’s decision to seek two extensions has done a great deal of damage to the Conservative Party and also to trust in politics.

“I think that people expected us to leave. The fact that we missed two deadlines has led to the growth, the puffball-like growth both of the Brexit Party, but also of the Liberal Democrats.

“And they are feeding saprophytically, like puffballs, on the decay in trust in politics. That’s where they’re getting their strength from.

“And they will continue to thrive until we get it done. And if we fail again, if we kick the can down the road on 31st October, if we continue to delay, if we treat this as a fake deadline, just yet another rigmarole, then I think the voters will be very frustrated indeed.

“And I think that our party, the Conservative Party, which I fought for for a very long time across this country, I think that we will not easily recover.

“So getting back to your point about Cabinet colleagues and the spirit of the party, where we all are, actually I think people understand that.

“And I think they also understand, intellectually, that you have to keep no deal on the table. Not only keep no deal on the table but you have to prepare for it actively and with confidence.

“And it’s very striking in the last couple of week, perhaps even the last couple of days, to hear some outbreaks of common sense.”

ConHome: “I think what you’re saying is if they vote for extension you will not go and seek an extension, because we must leave on 31st October.”

Johnson: “I’m not quite saying that. What I’m saying is that the parliamentary mood has changed and continues to change, and I think that actually, listening carefully to colleagues, and I will, and I’ll try to understand exactly where everybody is, and you know I will make myself totally available and try to work very, very hard to get this thing through – that’s been why I’ve been so pleased to get the numbers I did [in the parliamentary phase of the leadership election] – I think people can see the existential threat that we face.

“Here’s the choice that colleagues face. It’s a sensible Brexit deal that protracts the existing arrangements, that allows us to get on and deliver on the mandate of the people, that allows us to build a new partnership with our friends across the Channel, that allows us as Tories once again to build strong bilateral relationships with France, with Germany, to be pro-European, that allows us to get on and defeat Jeremy Corbyn when the election comes, that allows us to put out a fantastic agenda of modern conservatism.

“On the other hand, there’s voting it down, and then enraging the electorate.”

ConHome: “You’re basically saying the context has changed.”

Johnson: “Yes.”

ConHome: “And MPs won’t ask for an extension. I’m asking what you’ll do if they do.”

Johnson: “That is exactly what I’m saying. I think it has changed and continues to change. Several important things have changed in addition to the context.”

ConHome: “But if the Commons do ask for an extension, you are committed to leaving on 31st October. That’s an absolute.”

Johnson: “Well I am certainly committed to leaving on the 31st. I absolutely am. But I think it very, very unlikely that Parliament will want to kick the can down the road again.

“And my objective in this contest is to make it absolutely clear that kicking the can means kicking the bucket.

“When I hear from other candidates, actually there is only one other candidate left, when I hear from the other side that somehow 31st October has become again, you know, it’s turning into a mirage, we’re going to arrive at the oasis and find it’s not there, and that suddenly it’s been put off till the Greek Kalends, to next year.

“I really think there is no objective reason at all why we should not leave on 31st October.”

ConHome: “But are you ready if the Commons doesn’t do that, and does vote for an extension, and you don’t leave on 31st October, are you ready to face a general election?”

Johnson: “Well, it will be certainly not my intention or desire to have a general election, and in fact I want the exact opposite. Nor do I think is it the desire of MPs on either side of the House to have a general election.

“The public has been consulted in 2015, in 2016, in 2017. They don’t want to be pushed out to the polls again. They don’t want to be asked to vote again.

“And they’re quite right. What they want is for us to get it done and what they expect is for us to get it done on 31st October.

“And what they don’t want is more pointless can-kicking. They want a decision, and they want action.

“And that’s the only way, I’m afraid, to spike the guns of both the Brexit Party and the Liberal Democrats who are prospering mightily as a result of the indecision of the main parties, particularly our party.”

ConHome: “Do you accept that your candidacy is a problem for the Conservatives in Scotland, and therefore for the Union of Scotland and England?”

Johnson: “Well I’m delighted to have strong support from excellent Scottish MPs. I have a very good relationship with Ruth Davidson indeed…”

ConHome: “She was against you some months ago.”

Johnson: “Well, actually we have a very good relationship.”

ConHome: “I think you had Ross Thomson at the start.”

Johnson: “We have several Scottish colleagues now who are openly backing me. I’m very proud of that.

“And I would just make one point about the Union. I think the Union will be greatly strengthened by getting Brexit done in a sensible way.

“And if I were thinking in Scotland about who I want to govern the country, my country, Scotland, and if I were looking at the Government of the United Kingdom, and it totally failed to deliver on this essential request from the British people, and it couldn’t even do that, I would think well why am I being governed from London.

“On the other hand, once we get Brexit done, there’ll be lots of things we can do to cement and strengthen the Union, to champion the Union between England and Scotland, and the Union between Britain and Northern Ireland, and the Union with Wales.

“There are all sorts of ways in which we can show the value of the awesome foursome and take it forward.

“And interestingly, there are things we will have to do legally to underpin the internal market of the UK as we come out of the EU.

“And final point, do you really think that the Scots Nats, once we leave, are going to have a song to sing about leaving the UK and joining the EU?

“And joining the euro, joining the Schengen area, submitting Scotland to EU rules, losing control of fish in Scotland to the EU? Really? Absolutely not.

“This thing, far from damaging the Union, Brexit is going to make life very, very difficult for the SNP indeed. I think it will take away a lot of their arguments, and it will greatly cement and strengthen the Union.”

ConHome: “The Boris Johnson tax cuts programme. Just to clear up the business about the 40 per cent threshold. Is that the first thing you want to do, or are there other things you want to do with it?”

Johnson: “There will be a package of fiscal measures, most of which will be directed at helping people on low incomes, including lifting thresholds for National Insurance and so on.”

ConHome: “Are you waving farewell to what’s known as ‘austerity’? You’ve got this spending programme, education, infrastructure, broadband, and you’ve got this tax cuts programme.

“What’s going to happen to spending control?”

Johnson: “Don’t forget the Chancellor’s revenues exceeded his expenditure in February alone by 14.5 billion. There is money there. Of course we’ll spend it sensibly.

“I never like the word ‘austerity’, but I think both George and Phil Hammond have done great work in exercising restraint, in reducing both the deficit and debt, very, very important.

“But I think most people you talk to today think there is room for some spending, particularly on education, where I want to level up.”

ConHome: “Will you be able to carry on writing books? Harold Macmillan claimed to read novels in the garden at Number Ten.”

Johnson: “He took a Trollope to bed, didn’t he?”

ConHome: “When are you going to bring this playwright, Shakespeare, before a wider public?”

Johnson: “This unjustly neglected author.”

ConHome: “What proportion of that book have you actually written?”

Johnson: “The truth is I’ve written a terrifyingly large quantity of stuff, but it’s one of those projects that continues to grow in ambition as it goes on.

“But I want to stress that if I succeed in this job I will be the hireling of the people, and I will be working flat-out on their behalf.”

ConHome: “Why has Iain Duncan Smith been brought in as campaign chairman now?”

Johnson: “Iain is a long-standing friend and supporter. I’m a fan of Iain.”

Paul Goodman for ConHome: “This is the man who you and I used to refer to in our light-hearted way when we were Members of Parliament together as Iain Dunkin’ Donuts.”

Johnson: “Did we? [laughter]

“I don’t think that showed particular disrespect for the great man. I think I can say that to his face and I think he would be all right.

“Iain is a friend. The thing I admire about Iain is he has done a fantastic amount to take the Tories on to the agenda of social justice, and campaigning for the interests of the poor and the needy in society.

“He gets all that. His heart is very much in the right place. He has a great understanding of the Conservative Party grassroots, and he enacted some pretty difficult reforms of welfare when he was in charge of that area, and he also is a guy who understands the intricacies of the EU issue.

“So he’s well-placed to chair the second phase of the campaign as we go out now to the members.”

ConHome: “Have you deliberately gone up a gear? There was all the stuff over the weekend and before that, Boris Johnson won’t do any debates.

“You’re doing the hustings, you’re doing this interview, you did Laura Kuenssberg.”

Johnson: “I love campaigning.”

ConHome: “You won’t do the Sky debate.”

Johnson: “I had to do the Conservative Friends of Israel dinner apart from anything else, which was a long-standing engagement, which I wasn’t going to blow out.”

ConHome: “The cry is that Boris will go out and debate, but he’s not going to go out and debate until after about 8th July, when most of the members have voted.”

Johnson: “We’re doing all sorts of debates and hustings, and I’m very, very keen to use whatever contacts I have with the media, whatever debates I’m doing, to get across what I want to do, which is come out on 31st October, get the thing done, unite the country and beat Corbyn.

“Every opportunity I have to say that is good.”

ConHome: “Given that you’re quite likely to win, how much planning for Downing Street are you doing?”

Johnson: “Obviously it’s very, very important at this stage not to appear in any way to be taking things for granted. But one of the things I learned from City Hall is the vital necessity of arriving with a well thought through plan, having things ready to go.”

ConHome: “Have you canvassed the present Prime Minister for her support?”

Johnson: “I haven’t. I did talk to her today and yesterday about another matter. She didn’t volunteer it.”

ConHome: “You were too shy. You missed a trick.”

Johnson: “There was a slight pause in the conversation where perhaps she could have said.”

ConHome: “Had she wished.”

Johnson: “You never know. You never know. I don’t rule it out.”

ConHome: “Is your campaign team open to the criticism that it’s a Boys’ Club? And that Downing Street also, were you to get there, would be a Boys’ Club?”

Johnson: “Not at all. On the contrary. Look at my administration in City Hall, which you may recall, which was basically a feminocracy of one kind or another. We had about half and half.”

ConHome: “The claim is that at your morning meetings it’s all men.”

Johnson: “There are lots of female MPs supporting my campaign. I don’t go to these morning meetings myself, but we have lots of women working, look at the campaign team, go downstairs and you’ll see Charlotte and Ellie, and virtually everybody is a woman on the campaign team.”

ConHome: “In that BBC debate, when Sajid Javid called for an independent inquiry into Islamophobia within the Conservative Party, everyone said yes. Did you agree?”

Johnson: “Well I took it up with Saj afterwards, and he said that actually, if I understand it correctly, what we’ve committed to is a general investigation into all types of prejudice and discrimination including anti-semitism.”

ConHome: “An independent one?”

Johnson: “Yup. Thanks so much, Ellie. Thank you very much. [She has brought him a mug of tea.] So yes, we’ll have to study exactly what Saj has in mind, but it sounded like a sensible idea when he mentioned it.”

ConHome: “In 1998, you wrote a tremendously trenchant piece defending Bill Clinton during the Monica Lewinsky business, making the argument that all politicians are entitled to a private life and it’s none of the voters’ business. Is this still your line?”

Johnson: “Yes, yes. The reason I give for it happens to be true, which is that it is quite difficult to say things without dragging people in who are not political figures.

“All it does is divert people’s attention. It frustrates voters actually. They genuinely want to hear how I’m going to take the UK out of the EU.”

ConHome: “Have you found it hurtful to lose some of the popularity you had before the EU referendum? People who used to smile indulgently at the thought of you, some of them started to hate you.”

Johnson: “Well the great lesson of politics is that when you’re unpopular, it’s not something you should take personally, because what they’re taking against is what they think you stand for.

“The flip side of it of course is that when you’re loved, and when you’re popular, that is equally transitory and I’m afraid probably equally superficial.

“These are slight illusions, popularity and unpopularity.”

ConHome: “What’s your reaction to being called a coward by Jeremy Hunt?”

Johnson: “The eleventh commandment of Ronald Reagan, thou shalt not speak ill of a fellow conservative.”

ConHome: “And that’s the end of that? You don’t feel compelled to challenge him to a nude mud-wrestling contest? To have it out mano a mano?”

Johnson: “I would defeat anybody in such a contest, were I obliged to do so, but that’s not how I propose to win this. This is about coming out of the EU on 31st October. It’s about uniting our country. It’s about re-energising Conservatives with an exciting vision for our party and our country.”

ConHome: “Would you serve under Jeremy Hunt if he won?”

Johnson: “It’s always a great honour to serve in a government of any kind. I only resigned on principle over Chequers with a huge sense of regret.”

ConHome: “And you’d offer him a job?”

Johnson: “One thing I’m not doing is promising jobs to anybody at the moment, and I think that would be wrong. But I would stress that Jeremy is one of many, many talented colleagues that we have at the moment.

“I don’t think the Conservative Party in my memory has had quite so many brilliant people in Parliament. There really are a lot now.”

ConHome: “As you set out to reunite the country, what are you going to do on this question of Heathrow? Can we take it you won’t be lying down under the bulldozers?”

Johnson: “Well I think the bulldozers are a long way off. I will follow with great interest the current court cases, because it is still the case that the promoters of the third runway have a long way to go before they can satisfy the legal requirements they must meet both on noise pollution and air quality. And there are many people in west London who would say the same.”