Mr. Birchum - What made King of the Hill work was the fact that, even though he was a trad conservative, Hank Hill was actually a good person

and more importantly hank was right most times

And even when he was wrong, it wasn't him being mean, and to contrast this, both realistically and for comical effect, the most offensive character available ends being the voice of reason.

Case in point: Cotton Hill, Hank's father. I killed fifty men! He doesn't engage in casual racism, he plays ranked. Yet…

(Right after an altercation where Cotton waves a bill at Kahn do something as if he's his servant and, with context, Cotton knows this is extremely offensive to many asiatic cultures):
Hank: "He's my new neighbor!"
Dale: "He's Japanese."
Cotton: "No he ain't". (looks up and down). "You're Laotian. Right, Mister Kahn?"
Kahn: [internal confusion]

Barely learned this show is a thing but I have a feeling that the default Mr. Birchum's characters baseline is Cotton Hill at his worst. Unless everyone is a foot shorter because their femurs were mowed down by machine gunfire, I'm not exactly thrilled if they don't have anything else on their pitch.