It's mostly Sodom and Gomorrah but religion does have a small presence, though it's all a lot more free form in order to fit with cultural trends. That is to say, orthodox religion is only practiced by a small minority while more loose, new agey type religion tends to fair better. There is no where near the religious presence of modern America, though, and something like the PMRC would be considered a weird extremist cult that no one really takes seriously outside of a small subset of people. Right up there with conspiracy theorists.

Of course there are more generally and secularly focused groups that protest societal behaviour but that is neither religion nor music focused.