Yes, Haifagirl. I saw your question and was very interested in an answer. I don’t pretend to know enough about music to have offered one of my own. Apparently I’m not the only one. I checked back in to find what the CR came up with but, as you already noticed, your question was misunderstood. Perhaps you’re right and there is no way to easily identify Jewish music?
I wonder if what makes music Jewish is not the tune or cadence or key. I’ve been thinking it might have more to do with the identity and, especially, the intention of the composer, than with specific sequences of notes.