Re: men vs women - he has often claimed for example that women get payed less because they are unwilling to do the better paying jobs (most famously in the Cathy Newman interview [0]). He also claims often that women are more interested in empathy and men in systems, so that men are vastly much more likely to be in fields like engineering, while women are more vastly more likely to be interested in fields like nursing [1], with natural differences as large as 20:1. He himself may not make this value judgement, but given the general social consensus that views engineering as a more prestigious, intellectual job than medical nurses, I think it's mostly fair to characterize this claim as I did.
I disagree with this conclusion any way - I believe that IQ testing quickly loses any kind of predictive power when applied to different backgrounds, and many implicit and even explicit biases quickly show up. I also find it hard to believe that a society where women:men ratios in any profession are 20:1 or 1:20 can be characterized as the free-est in the world on this issue. More likely, there are great social and historical pressures trending in this direction, and the state is simply doing nothing to try to reverse this injustice. Looking at former communist countries, that are generally not even close to having any kind of women in STEM programs that could be considered to bias results, the women:men ratio in STEM fields is something like 30:70.
Re: IQ and "race" - I don't think so. You may accept that IQ has some correlation with what we understand by intelligence in regular usage, but that doesn't mean in any way that you can meaningfully compare people for IQ across arbitrary divides such as "race", especially when "race" is highly correlated with things such as poverty, teacher attitudes, social attitudes etc. And I keep saying "race" and not race because there is no scientific basis for our notions of race - they are arbitrary social constructs based on skin color and culture (for some examples: are Italians and Irish people white? 50 years ago, they were considered a different race; or, what is the race of the child of a mixed black-skin & white-skin couple? Is Kamala Harris black or white? What about her children? Are they white? black? semitic? south-asian? How many studies of IQ vs race on similar populations actually look at any kind of genetic evidence, vs just skin color?)
I will admit that "conman" was a bit rough and an exaggeration. Still, he is definitely using some conman-style tactics to sell his opinions outside his area of expertise. I am not talking about the area of psychology, which includes his self-help work, but about his political discourse.
[0] The Cathy Newman Interview: https://www.youtube.com/watch?v=aMcjxSThD54
[1] Jordan B Peterson: Why so many Male Engineers and Female Nurses? (3 minute video) https://www.youtube.com/watch?v=d7uZOAzVRgU