Interesting concept, but I doubt this will happen.
Check it out:

A government shutdown at midnight tonight looks increasingly likely. But it’s not a certain bet.

There were some signs on Sunday—including remarks from House Majority Whip Kevin McCarthy, R-Calif.—that the House may try and find a last minute solution to keep the federal lights on at least for a few more days.

The 11th hour solution could be a clean bill funding the government for a few more days to allow for a longer-term solution. Or it could come in the form of a list minute bill from the House that includes just one or two more modest demands of changes to Obamacare, including a repeal of the tax on medical devices that helps fund the health care law.

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