“everyone knows the difference between Jewish music and nonJewish!!!”
I certainly do not.
The truth is that there is almost no “Jewish music” that has not been influenced by the non-Jewish forms of the time. The only music by Jewish composers I’ve found that really is sufficiently different that I one can safely say that it is not beholden to non-Jewish musical tradition is the atonal work of Arnold Schoenberg. And while Schoenberg wrote a number of works inspired by Judaism including the opera “Moses und Aron”, a setting of “Kol Nidre” and the oratorio “A Survivor from Warsaw” to honor the memory of the six million, I doubt any of his compositions will ever be played at a simchah.