I've never affiliated myself with either of the major political parties. I don't view myself as a Republican, though there are viewpoints in the party's platform that I identify with. I also don't see myself as a Democrat, though I often agree with the major tenets of that party, too.
Truth be told, I think most people — even those who closely associate with one party or another — are just like me. When you strip away the party lines elected officials are forced to spew or that loyal followers feel beholden to, I believe you'll find a lot of internal conflict on most issues.