I don't think I would start eating babies, but if I had to guess, I think I would become a lot less disciplined about consciously putting others before myself, devoting time and resources to that, etc. It takes me a lot of discipline and practice to do that consistently, and my faith is my motivation for submitting to that discipline and practice. I imagine I would stop praying and stop meditating on God's will for the universe and how I might fit in to it, and think more about trivial matters.
In sum, I think I would become more selfish, enough so that people would notice, but not enough so as to make myself loathsome.