Let me paint a picture:
My maternal grandparents are country folk, from Kentucky. My grandfather was an electrical engineer and a sort of whizz kid type. Architected/drafted and built his own house, made youngest highest-ranking naval officer in Coast Guard history, stuff of that sort.
Having lived their entire lives together, they are on very different sides of the political spectrum. My grandmother is... unfortunately, a somewhat stereotypical Kentucky old white lady. You can guess her stance on things like immigrants and who she voted for. I love her but I have to try to blank out some of the things she says.
My grandfather on the other hand will just say things like "Well, you have to try to see it from their side.", and "Don't you think that's a bit of a generalization?"
But God help you if you cross the old man. I've done it once in my life and rarely seen a scarier thing.
So (IME), you can have political tolerance separate of your emotional tolerance and emotional experiences.
Political tolerance (for me) really boils down to: "Treat others how you want to be treated; Live and let live" which seems to me the most logical/reasonable way to go about it.