Lord Howard was the latest Tory Brexiteer to slap down Sir John for demanding MPs be allowed a free vote on the final deal of the EU negotiations.
Making a speech at Somerset House in central London, Sir John, who campaigned for Remain, said Mrs May's decision to listen to the "ultra-Brexiteers" in her party and impose red lines on talks with the EU had boxed the UK into a corner.
However, in a brutal rebuttal, the Tory leader for the 2005 General Election accused his predecessor of “backseat driving”.
He said: “He certainly wasn’t very keen of free votes when he was Prime Minister, no question about that.
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“The speech is full of rich ironies, I seem to remember when he was Prime Minister he was quite upset about the interventions of one of his predecessors.
“I think it was called backstreet driving in those days.”
Sir John’s relationship with Lady Thatcher soured when he was in charge of the country as he accused the ex-leader of behaving “intolerably” by