His reaction to the Canadian Bill was totally laced with transphobia. He doesn't think trans people are "real' and therefore believes he can treat them as he sees fit. See the Elliot Page incident on Twitter as proof. Being compelled by the place you work to treat your students with respect by addressing them as they prefer is not infringing on free speech. It's basic civil rights. And that's all the bill did - expanded civil rights a little bit. Peterson wants to live in the 1950s where white men ruled and everyone else knew their place. Everything he says is an intellectual-sounding framework to essentially justify that.