Be careful on the whole "separation of church and state". My memory is not what it once was, I admit, but, as I remember, it was designed to protect the church from the state. It has, over time, been flipped.
That being said, I can see where his comments could be seen as devisive. As a Christian, what offends me more is that I think he is totally using it to satisfy his base as mentioned above. I am not sure I have seen him exhibit any qualities I would want to see in a fellow Christian.