Would you mind providing links to those “true sources”, please? I’m curious to do some research for myself.
The scale is very much subject to discussion, but genetic evidences[0] support the core idea.
If it really is a joke, what is the punchline? How does it work? What's being made fun of? That it would be outrageous for someone to say that seriously? As "red pillers" like to say: keep making jokes until the joke really lands (i.e. accustom people to hearing it by framing it as a crass joke so they'll no longer flinch when it is said in earnest).
How is it antisemitic ? Are Khazars secretly running the world from Atlantis ?