Today's DNA testing services such as "23andMe" allow for normal people to provide a saliva sample which is tested in a lab.....and voila!....your ancestry can be broken down into percentages with quite accurate results.
My sister had it done, and the results were what we'd thought they'd be based on what we knew about the ethnicity of our parents, grandparents, and great grandparents. So how simple would it be for today's Ashkenazi Jews to take such a test en masse to determine their percentage of Semitic heritage, and thus verify their claim on Israel?
Well, that's been done already, and it's not surprising we haven't heard much about these studies.
Dr. Areilla Oppenheim of the Hebrew University in Jerusalem, conducted the first comprehensive DNA study of Israelis and Palestinians in 2001. She concluded that Ashkenazi Jews were of Mongolian 40% and Turkish 40% genome.
There was no Semitic blood connecting them to the original Middle Eastern Hebrews of 4,000 years ago in Jerusalem or Biblical territory. Jews were found to be more closely related to groups in the north of the Fertile Crescent (Kurds, Turks, and Armenians) than to their Arab neighbors.