The paradox of tolerance explains how in an open society, when one ideology dismisses rational thought and discussion and opts to, instead, silence opposition, society must be intolerant of that ideology in order to be tolerant itself, because if it allows intolerance then it will become less tolerant itself.

That is the paradox. In order to be as tolerant as possible you must not be as tolerant as possible.

This formulation is very often misquoted, interpreted to mean that a tolerant society must repress bigoted beliefs. That leads to no paradox at all, the term "tolerance" is used with different meanings in order to misconstrue a formulation. In doing so, people misquoting are being what the first, correct formulation warns us about.

It is a quite ironic phenomenon, people use an argument of authority that actually states the complete opposite of what they want. I don't think it is hypocritical to support the correct formulation and, thus, silence people positing the incorrect one.

Not that I downvoted him, not that I can, not that I would, I believe these matters to be better left out in the open, but I don't think it's hypocritical.