I'm no 'King of the Hill' expert. I like the show, but I have only ever seen a couple episodes here and there. But people who are crazy about the show seem to suggest that he would have been a reluctant Trump voter in 2016 but switched to Biden in 2020. He's a conservative but one with actual values who would be disgusted at the party's turn to believing in nothing nothing but grievance, spite, and victim-hood. Perhaps he is even the the ultimate example of a Trump-Biden/Lincoln Project voter.
Here's a Cracked article that makes a very compelling case:
https://www.cracked.com/article_28937_no-hank-hill-wouldnt-have-voted-trump.html