Robert Jenrick argued that the attack reflects badly on the UK's asylum system.
The BBC presenter said the former home secretary was "a headline-grabber".
Jeremy Hunt said he was introducing the "biggest tax cut since the 1980s" but the overall burden is going up.
"It’s called The Plot. You can buy it if you want," says the BBC presenter at the end of bizarre interview about new book.
The prime minister was grilled during an interview with the BBC's Nick Robinson.
The Today programme presenter roasted the health secretary over plans to ban doctors from taking industrial action.
The education secretary's morning media round didn't exactly go smoothly on Monday.
Justice secretary Alex Chalk said the comment was "not bigotry at all".
The BBC presenter insisted he was only "teasing" to former Ukip boss over his failed attempts to become an MP.
The Conservatives lost two other seats last night and held Uxbridge by just 495 votes.