2012 - Miami - They started: Mario Chalmers... this is a no-brainer
2011 - Dallas - They started: Jason Kidd... in this case, Kidd gets the nod, but Calderon is a superior offensive player at this stage of their careers.
2010 - Lakers - They started: Derek Fisher... Jose, by a lot.
2009 - Lakers - They started: Derek Fisher... rinse, repeat
2008 - Celtics - They started: Rajon Rondo... Rondo is obviously now, a waaayyy better player than Jose, but rookie rondo vs. current Jose? I'd say 2012 Jose. Rondo couldn't hit a shot to save his life as a rookie.
Fact is, Jose's overall skill is very good. I would even say that Jose is even an elite shooter/distributor. He just doesn't have the foot speed or defensive capabilities to actually be considered an elite point guard.
That said, if the right deal comes along, of course, Jose should be traded, just like any other player on this team.