No. Religious people will make decisions based on their religion. Even today there are laws clearly influenced by religious impulse in many countries, and even in western, advanced civilization.

I do not wish to live in a society where a woman will be stoned for showing her ankles in public, or one where discovering something new without the approval of certain officials will have you burned at the stake, nor one where even QUESTIONING the existence of God will have you executed.

Extreme example? Certainly. Exaggeration? I don't think so. Power corrupts, and makes you want more power. If we give religious officials power, then they will simply want more, and more, until they're in a position to enforce their beliefs by law.