More people respect religious faith than you might think, and this has been a historical constant in America. A person who has a vision of something to believe in is going to be motivated to go somewhere. This differs from the person whose life is dominated by doubt or stark disbelief. He or she only wants to hand out wet blankets.
I think it would be folly to try to explicitly tie a conservative movement to a particular denomination, or even to require a viable candidate to be associated with a house of worship. But for them to explicitly encourage faith is not folly.
So the movement can welcome conservative non-believers if they are respectful to believers? I agree.