Be super-nice to him. Help him out whenever you can, make sure he can see what a lovely, wonderful person you are. Don’t rise to any cyclist baiting, let it slide. Be as perfect as you can around him. Then after a good long while, a few months at least, make sure he knows you’re one of those dreaded ‘cyclists’ he hates so much.
Perhaps the stupid shite will begin to question his imbecilic views if he realises that ‘cyclists’ are in fact usually just normal, nice people who happen to be on a bicycle.