I don’t know… for a lot of political music the music seems to be an afterthought (especially in the case of overtly political content).
FWIW:
I always liked the Asian Dub Foundation and was surprised to find one of their participants, IIRC, running a WBAI show (I forget the name of the show now). Among more mainstream musicians with explicit politics, I have liked some (or at least one) of the songs of Everlast (the House of Pain frontman, IIRC), Taleb Kweli, Chumbawamba, Johnny Clegg… but I am a sucker for pop/hiphop/melody.
—ravi