False choice because you don't have an atheist vs a Christian, you have an atheist vs a lying atheist.
Anyone who does that is a loon.
Why do you say that? Is theology the only issue that must not be an issue? We don't have a democracy, so you can't vote issues. In a republic you must choose the person and I believe that your evaluation should begin with the person's world-view. If a person comes to the right conclusion for the wrong reasons, you have a situation where the end justifies the means and you cannot count on a consistency of philosophy.
Hey, if someone wants to vote against someone merely because he/she disagree with their theology, without any regard to their positions on the issues or what their behavior has been in the past, he/she should go for it. But I would still call him/her a loon.
In a republic you must choose the person and I believe that your evaluation should begin with the person's world-view.
Would you agree that a person's world-view is shown by their stance on issues and how they have behaved in the past? That would seem to be a greater indicator than the name of the door of the building they walk into.