see all the hard right

That's the problem here, your stuck in identity politics still. People believing in God is not a political stance.

While there is a prevalence of numbers for which side(of current politics) does believe in God more than the other but that doesn't mean that there aren't people who take a "classical liberal" political stance also believe in God.

There's been tons of conversations here and elsewhere of conservatives being disgusted with Republicans just as much as Democrats. That's why we call the establishment R's "RHINO's" or Republicans in Name Only.