On Friday, her foreign minister Jeremy Hunt said Brexit might not happen at all if May's deal was defeated.
After a week in which parliament forced the government to promise to come back with a "plan B" within days if May's deal is rejected, Mr Barclay said the risk of parliament acting in a way that frustrates Brexit had increased.
"So my message to Parliament this weekend is simple: it is time to forget the games and do what is right for our country".
He said there would be a "different tone" in British politics if Britain failed to leave the European Union and predicted a "less tolerant society" and a "more nationalistic nation".
But he has insisted the United Kingdom should not afraid of a no-deal Brexit, despite forecasts from the Treasury and Bank of England warning that it could trigger an economic crisis worse than the 2008 financial crash. "Or else force them to vote again".
Mr Corbyn has said his party wants to have a general election, a possibility Mr Blackford said the SNP would be prepared for.
The Labour leader faces a major hurdle: His chances of winning a confidence vote are slim, as he'd have to gain the support of both Tory and Northern Irish lawmakers, who fear a Labour takeover of government.
During an interview with BBC Radio 4's Today programme, Ms Rudd three times declined to say whether she would remain a member of the government if it opted for a no-deal Brexit.
Vince Cable, leader of the pro-EU Liberal Democrats, said parliament would act to prevent a no deal Brexit, and could ultimately seek to prevent Brexit altogether.
"This is something I don't think has really been focused on", the Leave Means Leave co-chairman said on his Sunday LBC Radio show.
Grayling's comments came after Northern Ireland Secretary Karen Bradley warned a no-deal exit would create a "feeling of unrest".
Downing Street said it was "extremely concerned" about the plans, reported in the Sunday Times, which could threaten Brexit legislation and the Government's ability to govern.
He warned Eurosceptics that they may not be able to rely on the clock ticking down to the default option of a no-deal Brexit on March 29 if Mrs May's deal is voted down.
Speaking ahead of a crucial week for Brexit, the Conservative MP said that "there would be huge uncertainty" about what kind of checks will be required on imports.
Lawmakers in the United Kingdom are set to vote Tuesday on May's Brexit plan after she shelved plans for a December vote when it became clear she would lose that vote.
The PM has also faced further opposition to her deal from former Brexit secretary Dominic Raab, who used an article in the Sunday Telegraph to urge MPs to vote down Mrs May's "bad" deal and send a message to Brussels that the United Kingdom "will not be bullied".
A margin of defeat exceeding about 60 lawmakers would probably mean the agreement is close to death and negotiations are in uncharted waters, several European Union officials said.
The prime minister will make this plea: "I ask MPs to consider the consequences of their actions on the faith of the British people in our democracy".
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