I think that you two would be able to get along somehow. I don't think you should stop talking to each other or something just because your star/moon signs aren't compatible. Forgive me if I'm wrong, I don't really have much experience in this. o.O
I actually agree with Xuexuan. The star signs may not necessarily be the classical interpretation of compatible but that doesn't mean that a relationship won't work out. As the worst case scenario what do you loose for trying?