No,what if you want to hear your own music?
This is the reason that the idea is bad.
The first one who places a music brick will control the music for the server, and it could be anyone, idiots included.
If anything, a server music GUI should be made, a bit like the client sided one already made, but with the server's music on. That way, any of the server's music could be listened to as much as wanted without annoying other people.