Forgive my ignorance, but why do you believe he is a fraud?
There are a lot of public 'scientists' who have never been peer-reviewed.
I have enjoyed listening to quite a bit of Lex's content and to say 'Lex is a fraud' without any proof strikes me as unfair.
I did a quick search to try to check your assertions but didn't find anything troubling.
My only gripe about Lex is that he is annoyingly good at SEO and I find it hard to browse the web without bumping into his content.