I'd probably just try to steer the topic to something we agree on, like music or movies or literature - arguing about something when you're locked up with someone when neither of you are likely to change your mind sounds like a recipe for disaster to me.
"No-one who decides that scientific evidence is not for him and that his own experience or the stories of others is the be all and end all of deciding what's true ever has the right to call people searching for reliable, repeatable evidence narrow-minded. That is hypocrisy of the most laughable kind." Derren Brown - Tricks of the Mind.
