However, they aren't about to slaughter non-Christians for not converting.
Christian fundamentalists believe Christ is the way to eternal salvation, in contrast to muslims who believe that mohammed is the way to heaven on earth, i.e. materialistic religious dominance.
Not any more, but check history. I am sad to say that it has taken place many times. The Conquistadors, the Inquisition, and others are examples. In Britain the Protestants and Catholics fought a bloody war.