Middle East Jews and Middle East Arabs come from the same gene pool; they are not different races.
How are “gene pool(s)” being classified here?
Given that everyone comes from Noah, and ultimately from Adam and Chavvah (Eve), there is but one “gene pool” to speak of; but as far as patriarchs after Noah, Jews are 100 percent descended from Shem (Semite) whereas the Arabs, if descended from Ishmael, are Semites on one side and Hamites on their mother’s side.