Would you be ok with surveilling everyone to make sure they are not Nazis? While I am uncomfortable with the knowledge that there are some people out there who are Nazis in secret, that is still much better than them feeling comfortable enough to be Nazis in the open.
Also I would prefer even Nazis marauding in the streets to universal surveillance, which for me at least is hardly imaginable without at least a little Nazi ideology at government level.
Also I was talking about religion which in contrast to Nazi-ideology can be benign, when practiced in private.