Will it? I happen to live in a world of western secular morals, and see no evidence of such a problem. Can you give an example? But religious morality requires human interpretation to be implemented, so there goes that. Also, any time you have two opposing moral systems, there will be disagreement. That isn't exclusive to one or the other. And citing God's authority doesn't help when the opposition believes in a different God, believes in the same God but a different interpretation of the moral law, or doesn't believe in a God at all.