Can a Jew join the Klu Klux Klan?

One thing came to mind after some thought on this subject. If you think about it the "Jews" by his definition already made a branch, and they recognize it. The person I am thinking of is Hitler since his mother was Jewish. Of course he wouldn't consider himself a Jew, but the Klan does. Yet they still use his symbol to promote their organization. Seeing as one of the flags had the swatztika. Seems oddly hypocritical to me.

Also when he says "Could they use the Klu Klux Klan logo?", and the guy says "no" then why are they using the swastika?