My parents aren't very politically engaged (which I inherited off them) but they'd never say anything homophobic or racist or sexist. (Unlike me.)
I'm still trying to work out my dad's politics. He hates pretty much everyone, but women in particular, he thinks Corbyn's clueless, scruffy and hopeless, he can't stand bureaucracy/management-types etc, he thinks Brexit's completely stupid, he hates the Tories, he thinks someone needs to shoot Trump, he moans about political correctness a lot, hates fat people, prides himself on not understanding technology whilst constantly going on abut how ignorant people are and how they don't understand things like climate change and the damage of a sedentary lifestyle, he goes on about Gordon Brown selling the gold reserves whenever someone mentions Gordon Brown, he hates nationalists and says people who want Brexit think we're gonna win the day with spitfires etc but loves WW2 films like The Battle of Britain and gets really fired up when it shows the Germans being all cocky. He says Thatcher was right to smash the unions, but hates her politics (and probably the fact she was a woman). He likes William Hague because his dad liked him. When I've asked him who he'd vote for he says Green.
I think I hide my humour from them because it's so bound up with disgusting/edgy stuff,
That's my dad's kind of humour. He thinks telling vegans stuff like the problem with abattoirs is that they're too sexy is really funny.