Judaism has the same fundamental conflict with Chrstianity, but we get by. But then to be honest, we get by pretty well with Islam too.
I'd hate for all Christians to be tarred with the brush of the worst, as much as I'd hate the same for Muslims, or indeed any group. The problem with the majority of Muslims is... there really isn't one. It's no more true than me saying that the problem with most Americans is that they're gun toting, pie eating idiots.