While I very much applaud your interest in data analysis, this is very much an overreach. Even assuming that facebook has as much information about you as you think, there has been no service which is better at predicting what you like than you yourself. Furthermore, I have yet to come across a music discovery service which can predict music that I like when I specifically give it songs that I like.
Furthermore, I would like to point out that facebook only knows as much about you as you tell it. I dont use foursqare, checkins, status updates, instagram, photo uploads, etc; not because of some ideology for privacy, but rather because I simply dont find them useful. I know that I am not the only one like that. Facebook has relatively little information about me. I also do not stay logged in to facebook so the link tracking is also nearly useless.