I like King of the Hill and I've rewatched it a dozen times.
I think the biggest problem with the show is that Hank Hill’s values are rarely challenged with reasonable alternatives. There are a number of episodes where his foil is a somewhat ridiculous straw man.
And so you end up with Hank Hill who is outwardly conservative in his politics but pretty moderate and liberal in his personal views. But he can’t embrace liberal politics because a couple times a season they will throw out some absurd liberal that is failing to parent correctly or live right and reaffirm the correctness of conservativism.
If republicans acted like Hank Hill I’d have not problem with them, but they think they are Hank Hill while being Cotton.