Well, it doesn't look as clear cut as I had guessed. What I find suprising, and I have only read one AP news article on it, is that the Democrats have indicated they would vote to vacate with the Republicans. This surprised me because I got the impression the "freedom" caucus was upset with McCarthy for working with the Democrats to pass the 11th hour budget.
I think now the Democrats strategy is to let the House GOP fall into chaos even more so than it is by ousting McCarthy. My concern would be, who would replace him? Would they be even more detrimental to getting anything through?