Do the people who think all Christan's are full of hate the same ones who think Islam is a religion of peace?

I think you know the answer to that question and the answers given here affirm it. You've probably taken notice of how often the crusades are mentioned, even when it is obvious most people have only vaguest notion of what those events entailed. And you've probably taken notice of how swiftly any criticism of Islamic violence is dismissed as being misguided and ignorant.