> 60% of Israeli Jews are from Arab countries, or their parents and grandparents were, and they are very similar in appearance to Arabs

Sorry, but you are wrong regarding the impossibility of do a "race" profiling. I'm a Jew and lived for 6 year in Israel. You can spot in a fraction of a second an arab jew from an arab muslin, from an arab christian.

They can look alike phisicaly, but the behavior, cloths, accents, body expression, etc... Are completely diferent.