Everyone has the right to run for public office, however they should have to declare what they believe about themselves, this is only right, the voting public should know who they are voting for, and religious or non religious is important to the American public. As it is the right that anyone can run for public office, it is the right of the people to know who they are voting for.
God loves those who believe and those who do not and the same goes for me, you have no choice in this matter. That puts the matter of total free will to rest.