comment: You could do this, but it won't accomplish anything. 
  If politicians can't credit religion, then they will credit something else publicly, but still mean religion. Everyone will know what they mean and wink and nudge at eachother when they say it.
  So, instead of saying, "I want this law to pass because that's God wants," they would say, "I want this law to pass because I believe it is the right thing to do." You say that you are tired of legislators voting against things you agree with, but even with your proposed policy, they will continue to do so.