Highly doubtful. Too much of their party has taken a "my way or the highway" approach. They won't vote for anything unless it's their ideal budget – not even a CR, but the actual budget. They think that if they remain stubborn enough, everyone will bow to them.

And to their credit, it does work wonderfully with spineless wimps like McCarthy, but not Democrats. This is what Republicans have sowed, and they are finally reaping it.