The question is not whether most Jews have some Middle Eastern ancestry. It's whether this gives European Jews the right to take land from Middle Eastern people who have lived there for thousands of years: "Several studies estimate that between 50% to 80% of Ashkenazic Y-chromosomal (paternal) lineages originate in the Near East, with some estimating that at least 80% of their maternal lineages originated in Europe.[21][22] Most researchers now believe that the early Jewish communities of southern Europe, which are the forebears of Ashkenazi Jews, are descended from both the ancient Israelites and from European converts to Judaism.[23]"
The source is Wikipedia, so I checked the footnotes, and recommend you do the same if you have doubts.