I can imagine Hank being ignorant, stubborn, and dismissive, but I can't imagine him being directly hateful. I think his behaviour at the grocery co-op is a good indicator. Hank got along perfectly well with potheads, hippies, and vegans, as long as he was able to teach them the value of hard work.

If I meet Hank Hill I'd tell him "I ain't no woman and I ain't no man. And if I catch you running your mouth to the contrary, I'm gonna kick your ass. You can call me Mx. Mindtraveller, and refer to me with the pronoun "they". Understood?" And that would be that. He'd mess up, of course, and I'd respond with a stern look and a faint growl, and he'd get the hang of it sooner or later. The key to these kinds of men is simply speaking their own language. You have to demonstrate your rugged individualism and ability to fight for your own dignity, and you need to phrase bigotry as a violation of the social contract and of good manners.

The only people who Hank really gets mad at in the show, are those who are violent towards women and children, and those who lack the determination and good sense to accomplish what they set out to do. Hank respects people who can look after themselves.