Maybe everybody should start asking and this might happen. I understand at times you don't want your religion to be what defines you, or you don't want to discuss religion at work, but that doesn't mean we should bury it. There are several rooms in one of the buildings where I work at that are 'private', i.e. employees only, no management, and people hold Bible studies and discussions a few times a week (they are also used by the Jewish, Islamic, and Buddhist workers among others). They were never meant to be used that way, more like break/stress relief rooms, but they just kinda turned out that way, and we are all happy and so management doesn't care. I guess I'm luckier than some.
Anyway, everybody should ask for a private room (I don't mean every single person mind you, but just private areas away from the busy areas and away from management).