In my experience, AOG, it's often those with radical views that are only too happy to bring them into conversation at every possible opportunity. My all-time favourite examples of this are in two conversations. Firstly, I was showing a relative of mine about King's College Chapel. He's a bit of a conspiracy theorist, but anyway, there was this exchange at one point:
Me: "Quite a few famous people have been to this college. Also, David Laws was here."
Dad: "Who?"
Me: "You know, David Laws, the former Treasury Minister."
Weird Relative: "Of course, he never had any real power, he was just working for his puppet masters."
I kid you not. He actually said that. pretty much word-for-word.
Another time, on greeting my former Director of Studies:
Me: "Oh hi, nice flowers you got there."
Him: "Yes, they're for my mother, it's her 98th birthday."
Me: "OH, wow, soon be expecting a telegram, I suppose?"
Him: "Well, given her republican views she won't be too pleased about that..."
Me: "..."
Actually a third exchange I remember. Had just met up with my godmother and her husband, and we'd gone to a pub. He's a vegetarian. I ordered some chicken. His opening sentence to me was: "So tell me, James, how can you eat chicken when you had three chickens of your own that all died horribly last Summer?"