The guy is obviously a child if he thinks that that is how evil works. Since this type of childish behaviour usually goes hand in hand with an inability to see anyone else's point of view I would suggest that you simply wait for his antipaladin to go to sleep and quietly cut his throat. He can complain all he wants but honestly, what kind of self-respecting evil character would put up with that kind of nonsense?
A big mouth does not usually lead to very high survivability prospects.
And when he whinges (which people like that always do) simply point out that you are just getting in before he tries to kill you, as he has already claimed he will do.....