Generally, religions - closely followed by capitalists - like to feel they have a monopoly on that.

And you do - absolutely and reliably - get protests, sometimes violent, often legal, whenever anyone who isn't in one of those groups tries to challenge those 'rights.'

I'd perhaps be more inclined to give religions a pass if there was a counterbalancing institution that explicitly encouraged positive public morality in a non-religious way.

The closest thing we have is TV and the media, which are too chaotic and contradictory to count.

And of course if such a thing existed, it would be protested by the religious and the powerful, because it would be an explicit challenge to their power.

(Realistically - or perhaps cynically, I can't decide - it would probably soon become corrupt anyway.)