There may not be a bloke with a beard in the sky casting lightning bolts and turning people in to pillars of salt, but isn't there some sort of supernatural force, or whatever, that could stop this if it wanted to ?
If you base your beliefs on faith, not evidence, I suppose the only way to settle disagreements with people of different faiths is to start a fight.
Buddhist beliefs are not based on faith. There is nothing to have faith in. There are stories which, like in other religions, have been bandied about for thousands of years, and they may or may not be true. But then that applies to much of our known history and in Buddhism it doesn't really matter if it's true.
I'm pretty sure events in Burma are based on circumstance and the human race. Buddhism really is the last 'religion' that would promote violent acts towards other groups. It is nothing like Western religions in that sense.
Of course, any group with influence and authority is potentially dangerous in the wrong hands.