What are his views on women?
As a Canadian I find him to be either an idiot or a liar. Maybe he's both. He completely misinterprets what bill C16 does or is even about.
Also his views on women are a very regressive and awful. Also his hate-boner for Frozen is fucking hilarious.
They may perhaps be noncontroversial but in the grand scheme of things how much actual societal weight needs to be afforded them, is another thing entirely. Personally, I've always been bemused by the idea of stating a preference for one's likes ( as if one's tastes don't fluctuate over time in all manner of areas, especially attraction) and even more so at any attempt to codify such disparate matters.
Reacting to your earlier point, Jordan Peterson believes a correlation between sex and gender, and he balks at the "gender unicorn," which is honestly a pretty noncontroversial idea - that emotional attraction, physical attraction, gender identity, gender presentation, and sexual characteristics are five different aspects of a person.
I would presume there exists some statistical research on the subject tbh, so personal belief is kind of irrelevant. If it can be tracked, it can be assessed. Anything otherwise is merely anecdotal speculation.
He also suggests that the whole gender-neutral pronoun thing is just "using" trans people, and claimed that a large contingency of trans people are actually opposed to this, when in fact in my experiences, trans people are often fairly supportive.