Religion didn't make the West peaceful IMO, it was probably the fact they almost destroyed themselves in WWI & WWII & said "well that's enough of that!" and created the UN.
What I mean is western religious leaders don't call for persecution or war against those who disbelieve or blaspheme, and haven't for some time. The pope takes Muslim refugees into the Vatican and urges Catholics to sponsor more.
Meanwhile, non Muslims aren't allowed to even pass through Mecca, much less go there.