I too have difficulty seeing Madonna pouring over and analyzing the writings of and rabbinical commentaries on the Torah, much less the multi-layered complexities of Kabbalah. That was one of her many career reincarnations; I wonder what she’s into nowadays. But, as you say, some of her music is all right, compared to, say, her imitator, Lady Gaga! (It just gets worse and worse, musically speaking.)
A Kabbalah Jew? I don’t know if there is such an animal. I think most Jews who study Kabbalah relate it to other teachings of Judaism. But a Kabbalah New Ager, that’s a different story.