That is hardly the full story.
That is what pulled him into the public view outside of academia, but does not explain who he is, why is is respected in academic circles, nor the scope of his resistance to "forced" speech.
The guy is not a trans-hating fanatic. Far from it.
Go to youtube and search
Jordan Peterson Cultural Appropriation Is Cultures Learning From Each Other
Watch it all, the last bit is nothing less than hilarious.