Would you stick with a spouse who disrespects your parents/family?

I would definitely try to talk some sense into him first, get to the bottom of his negativity towards my family if this happened to me. If it's within reason, I'd try to help him resolve it and see how things goes, whether there are any improvements or not. If there isn't, then I'd definitely take a harsher approach and tell him off. Even if he hates my family so much, he can at least be civil and put up a friendly front for my sake. I would if the tables were turned. There is absolutely no excuse to being rude.