This reminds me of an interview I read about Faith No More years ago. That was a band with players coming from very different directions - a thrash/metal guitar player, a keyboard player into pop and dance music, a drummer who was all about heavy classic rock and groove, and a bass player who was a punk/metal player with a real sense of funk (oh, and a singer who was most likely from another planet). They got together and created something that was not only unique, but sold a lot of albums. One thing about the interview (it was probably with Billy Gould) that really stood out in my mind was that, even though the guys in the band really didn't get along all that well personally, they all respected each other musically and were all open to other's suggestions and opinions. THAT is the key to making it work.
I've experienced both sides of that in my own history. I come from a metal/hardcore background and wanted to do soemthing different; I once started a band with a guy who was more of a rock guitarist (lots of flange and chorus, wanking solos, etc) and a drummer that was more pop than rock, and I wanted to do something similar to what FNM did. It failed miserably, because the guitar player was incapable of listening to what I was trying to do or to my suggestions about songs, and the drummer was afraid to do anything different or challenging. I later formed a band with a rapper and two brothers (guitar and drums) that were into a lot of pop-punk, and had the opposite experience - everyone respected everyone else's opinions, and everyone was willing to speak up and to take criticism without taking it personally. We created a fairly unique sound, and that band was the most successful band I was ever in.
The unfortunate thing is that you can only control this in yourself; if your bandmates have closed minds and closed ears, you can't change that. The best you can do is recognize it and get out before you invest too much of yourself in it.
One last thing... putting together different types of players is IMO the best way to create something new. Best of luck - I wish I could find a group like that.
-Y