Even tactically it would be the smart move for the Republicans.
Republicans have painted themselves into a corner on this issue by refusing to reject the fascism that has taken over the GOP. Fascism requires "others" to blame. You see it over and over. "This is all the fault of foreigners from X." "This is because of Y minority group." And of course, one of the "others" is always whatever the rival political party is. In this case, the Democrats.
For a fascist, it's unthinkable to work with one of the "others". It would be like Hitler partnering with Jewish people.
Republicans are already blaming Democrats bizarrely for not voting for McCarthy, at a time when McCarthy and all of the Republicans were blaming Democrats for everything, and vowing never to work with them again.
What we really need is a small group of Republicans to say the situation plainly. "The GOP is letting fascists take over and is becoming unamerican. I will not be able to support GOP leadership until they publicly reject fascism and eject extremists like Trump, Gaetz, and Greene from the party. I will still vote for my constituency's conservative values, but I cannot let fascists control American politics, and so for House leadership, I am forced to vote for my conscience and support Hakeem Jeffries."