Who said you have to RP with the CR as the CR likes?
CRs say they are from a completely different system, have a polytheistical religion, completely different culture and are on a holy crusade against artifical intelligence. If I would meet someone similar in the RL, I would probably think he is mad. The same is possible here... Someone has weird RP? Tell him, your char thinks, he is mad, or that it is impossible, or anything you can think of. Problem solved. You dont like the CR? Tell them you think they are mad, or simply dont believe their story. Nothing similar ever happened to me and it would surely be a perfect piece of ingame RP and definitely more fun for both (all) players.
Every coin had 2 sides and it only is our and noone elses fault if we fail to see the other side.