If you don't want to be accused of racism on scant evidence, maybe don't accuse others of racism on scant evidence, hm?

If you charge false data, the onus is on you to back up your "libelous" claim with evidence, not appeal to authority. I have read some of the primary genetics literature and my understanding agrees broadly with Lui-Hyden's. Of course, genetics is a poor proxy for race or ethnicity in general (lovely description of how and why here: http://gusevlab.org/projects/hsq/#h.v8wagygagcry). Deciding that it's cool to discriminate against people because their genetics isn't "good enough" by some standard is pretty not-okay, and it sure sounds like that's what you're advocating. Regardless, genetics does verify that the degree of admixture with European populations of ethnically Jewish people living in Europe was amazingly low considering the long time period they were distant from their ancestral geographic origin.

If you find yourself psychologically vulnerable, don't expect that your personal condition ought to shield your arguments from scrutiny. It was your choice to respond, and the tone of the response was your own choice too; Lui-Hyden merely responded in kind, which you should have anticipated. I wish you the best personally, but seriously: what were you thinking?