If you look at the Republicans in the US, they definitelly have internal fights - Trump might have temporarilly succeeded in getting them all to push in the same direction, but that's the natural outcome of coming up with a formula for electoral success and is now breaking with all the shit that's coming out about him and he is doing in his second term.

Ditto in countries with more Democratic voting structures and hence more the just 2 parties, were the center-Right is fighting with at least the Far-Right.

And by the way, in those countries with the Overton Window very much to the Right, those on the right by definition don't have the same Overton spread since there's a lot less room Rightwards from the center of it than there is leftwards.