I'd argue CCM is probably even more right-wing than country, which is at least big enough that it picks up at least some liberals. I imagine Democrats that listen to Christian rock/pop are pretty rare, and most religious minorities tend to listen to gospel.
Failing that, dead0man/RINO Tom probably got it right with classic Southern rock.
Eh, most CCM you hear on the radio is so bland and inoffensive that I have a hard time believing there aren't a fair number of liberal Catholics/Mainline Protestants who listen to it. The stereotype would be liberal Christian suburban moms just looking for something upbeat and positive for their kids.
This is true, but the Christian radio stations that play CCM are often quite right-wing, so people who listen to it regularly in the car almost certainly lean R.