As soon as anyone starts quoting Bible or Koran verses at me I tend to tune out. It doesn't prove much either way. Jews should be the most violent and genocidal of all abrahamic religions by that logic, and it's not even close. For most religious people who aren't complete fanatics it is pretty much a "buffet": they pick and choose what ideas and interpretations to follow.
From what I've seen what most christians in the modern west choose to believe is pretty innocuous and harmless stuff. It's political and social beliefs I'm interested in, not the ineffable stuff. And on that metric the average western christian is vastly more progressive and modern than the average muslim. I don't think it has anything to do with what is actually written in the Bible or the Koran, but consequences from external factors throughout christianity's existence in the west. The Enlightenment, the pushing away of religion from the material rule of the world, etc.