Well, here's the thing ... Green doesn't have Bird's passing ability and thus, no comparison there.
He does, however, have quickness and the crafty ability to get to the right spots, for high percentage shots. And that's where the King comparison comes in, King was a high percentage, crafty scorer, before he tore up the ACL and never came back to form again.
As for Stockton, well, he's got the consistent outside shot which Rondo lacks, to complement his assists total. Plus, he's always setting picks, which keeps defenses working. These are all areas which Rondo can pick up on.
With the above stated, adding a few role players, like a Tony Allen-esque wing defender, Perkins-like enforcer down low, inside-out versatile guy like a J Posey, I believe, gets us into a form where we can contend.