The problem with your reasoning is that Gaetz is being roundly rejected by Republicans for his stance.
In other words, Republicans are rejecting a member pushing for one-party rule, so they're not.
I mean yes, that's the reason the entire House might stay with McCarthy, but that's an across the issue aisle.
But here we have mainstream Republicans calling for cooperation across the aisle to maintain government funding in the face of the hardliners like Gaetz, and I just feel like they directly reject what you're saying here.
Yes, every party, and every individual, wants to get their way without having to compromise, but when that's not an option Republicans often seem willing enough to work across the aisle.
The votes for the past few weeks show that.
@volkris What I hear is Republicans feel like McCarthy is the best they can get for now, so they will likely stick with him to avoid another 15-rounds-of-voting fiasco. But the principle of anti-collaboration across the aisle stands.