No Deal Brexit is currently on schedule for April 12, 2019. Meanwhile, the news reports this week (April 3, 2019) that various Conservatives are considering voting with the opposition in a No Confidence vote to bring down their current government under Prime Minister May.
Normally, opposition leader Corbyn would welcome such news if it were true. He called a No Confidence vote in January, but the government won. If some Conservatives were expected to vote with the opposition, he could call another No Confidence vote soon.
However, I'm wondering if this would be a Sophie's choice* for Corbyn, in which even if the opposition won a No Confidence vote, it could make No Deal the inevitable outcome of Brexit on April 12? Corbyn has previously been adamant that No Deal is a horrible outcome and should not be considered an option. The problem would be in the mechanics: The obvious ways of stopping or delaying No Deal all depend on executive action---either for the prime minister to revoke Article 50, or request an extension. The EU has clearly stated that it can only negotiate with the executive, not directly with parliament. But if the opposition wins a No Confidence vote, it would take a while to establish a new executive, longer than April 12.
In such a scenario, who would hold executive power in the interim? Would parliament continue to function? And would there be any way for parliament to stop No Deal Brexit from happening?
*EDIT: or Pyrrhic victory. Calling a vote would be the choice. Winning it would be the victory. Sorry for the mismanaged political metaphors...