The other side of the argument is that McCarthy is the GOP’s greatest fundraiser, and getting rid of him would help Democrats take back the House. No replacement for McCarthy would have the same set of relationships and the donor network and political operation.
This is, to me, the winning argument - it hurts them politically, both by taking away their best fundraiser and by replacing him with somebody who's likely to be even more extreme and so do even more dumb things the Democrats can campaign against. A McCarthy replacement is even likely to shut down the government in 45 days than McCarthy is, and for Democrats that's probably a good thing - Republicans screwing up air travel right before Thanksgiving and taking away government employees' paychecks right before Christmas.
Is it good for the country, maybe not, but Republicans losing the House in 2024 will do several orders of magnitude more good for the country than whatever harm might be done by that short-term idiocy.
Historically, when Republicans have shut down the government under a Democratic president, the Democrats get an outsized share of blame. If I were the Dems, I would avoid a shutdown if possible, even just for purely political reasons
As the republicans have veeered more and more into extremism, the veneer has been lifted and they get most of the blame. Their propaganda machine doesn’t work as well when people know it’s propaganda. Obviously the third that live in an alternative reality still blame the dems.