I feel as though any individual has the right to run for office, however, their religious beliefs are not to be used as a reason for running. A person's individual religious beliefs are for them and them alone, and should not factor in how other people live their life.
When a person runs for office, they should have the ability to see a greater/larger picture and if unable to do so, then they shouldn't be elected to office. Those with a religious belief are limited in thinking, simply because they see the world in only one view and that is damaging to the rest of society and/or humanity.
Keep religious beliefs out of political offices and the country would function much more easily and a lot more happier.