Mr Halfon is one of those who plans to vote against the prime minister Brexit deal in the House of Commons next week, saying: "I don't like voting against the prime minister" but that he feels he would be breaking a promise to his constituents to honour the Brexit result if not.
"Doing so would be a catastrophic and unforgivable breach of trust in our democracy".
My message to Parliament this weekend is simple: it is time to forget the games and do what is right for our country.
The Transport Secretary added that the millions who voted to Leave the European Union would feel "cheated" and putting a stop to Britain's withdrawal from the EU could end centuries of "moderate" politics the United Kingdom has enjoyed since the English Civil War.
Mrs May said the United Kingdom risks crashing out of the European Union without a deal or, if MPs are "unwilling" to face the uncertainty of no deal, then the United Kingdom may not leave at all.
The Sunday Times reported, citing a senior government source, that some of the rebel lawmakers were planning to wrest control of the legislative agenda away from May in order to suspend or delay Brexit.
It was previously thought only ministers could extend the two-year Article 50 process which, which governs how a member state leaves the EU.
MPs are due to vote on her withdrawal agreement on Tuesday night, but it is widely anticipated that it will be defeated, with backbench Brexiteers and the DUP vehemently opposed to both the Northern Irish backstop clause and the £39bn divorce bill.
"The benefits are close to zero".
Mr Corbyn said people should "see what happens" on Tuesday, when Mrs May's controversial Withdrawal Agreement is put to a vote in the Commons, but said his party would table a confidence motion "at a time of our choosing". "Jumping off a cliff never has a happy ending".
He added that a "new process" of national consultation was needed, adding: "No true democracy should deny a considered choice to its people".
Meanwhile, London mayor Sadiq Khan has written in the Observer suggesting that Mrs May should step down and call a general election if she loses next week's vote.
"I'm saying this would be [an] incredibly damaging breach of trust and it would also be very bad for Britain's reputation overseas, having made a decision to leave the European Union, if we in the end for whatever reasons found we weren't able to do".
But former Brexit minister Dominic Raab said Britain should be prepared to leave with no arrangement in place.
'We'd be in a stronger position, then, to continue the negotiations as an independent third country'.