A recent study of the Y chromosome of several thousand Levys living around the world. There was no or little genetic difference among Levys who are Sephardic and those who are Ashkenazi. In other words the study shows that the Jews of the world, regardless of community are mostly descended from the same ancestors. Hardly Khazarian as you wish to believe.
from the article: Comment / Settlers can stay, but only as citizens of Palestine