So I'm a young bloke in my 20s, and though I wouldn't say I'm a 'fan' of Jordan, I have watched a lot of his content online and so I think I have a pretty good view of him.
First off, though he is now quite a controversial political figure, the vast majority of his content on his channel was psychology lectures made before he gained prominence from the c16 affair, where he took a stand against the Canadian government trying to mandate speech. As such most of the stuff he talks about doesn't actually have anything to do with trans or women at all, instead it's lots of jungian critiques, which you can take or leave. A point to not is that on YouTube, 3rd parties take a clip and title it 'SJW OWNED' or something to that end to get clicks, and often has nothing to do with the actual content. As far as I'm aware, of the content Peterson himself puts out, he normally doesn't do this.
On the accusation of him being some sort of alt right hate figure, this is complete tosh, and if you think this I seriously doubt you either know what the alt right actually is, or whether you even read it. Peterson talks lots from the perspective of a clinical psychologist, with hours of content around depression and other mental health issues at length. I can personally say that he has done more in helping me overcome my mental illness than the NHS has, and I've little doubt that many people didn't kill themselves because of him, so for that I'm personally extremely grateful. Also some posters seem to have the rather odd view that a psychologist cannot be mentally ill, which is daft, as we wouldn't say the same about an oncologist developing cancer, maybe have a think why you have this opinion if it applies to you.
Politically he tends to follow a classic Liberal view, and of course talks about personal responsibility a lot, which is very useful especially if you lack.good role models. Though you may think that policy is also required via social works, I struggle to see how encouraging personal responsibility is bad for anybody, regardless of age. I think a lot of this came about due to his academic work around extreme political systems based around collectivist ideals. This means he dislikes both communism and fascism, which I certainly agree with! This is where I struggle when people claim he is an alt right figure- he specifically argues against white nationalists, so I can't honestly see what people are talking about!