No, not yet. I can't see Paul, KG, or Rondo reacting well to that. Or Green, for that matter. I'm still optimistic about Jeff, but I think that a sudden controversial move to starter would bring out all of his worst tendencies as a player.
But I do think a big part of Green's contract is that Danny is planning on him taking over at 3 if/when Pierce retires after next year. For good or bad he's being groomed as a starter, but neither he or the the team is nearly ready for it yet.
What Doc could do, though, is move Pierce closer to the same minutes rotation as KG, and give Green more time with the starters. But with KG and Pierce sitting and Rondo already playing a lot with the bench, it's barely even the starting unit anymore.