The majority of Israeli archaeologists and historians agree and accept as fact that the European Jews originated from a Turkic people who had an empire in central Europe during the Middle Ages

Probably only partly true at most. There was such a tribe (the Khazars); it's doubtful if they contributed much to the Jewish gene pool in the long term though.

On the other hand, it's pretty certain that many Palestinians are descended from Jews of Holy Land times. It's also true, but conveniently forgotten by Zionist enthusiasts, that it was the Islamic Ottoman Empire that gave refuge to Sephardic Jews from Spain after Ferdibella and the Inquisition expelled them, and to Jewish refugees from Bavaria a little before that. Jews had considerable freedom, and self- governing status, until the decline of that empire brought Western- style racial nationalism to Turkey.