Quincy Carter was not drafted by Bill Parcells. He played for Bill Parcells for one season and the Cowboys went to the play-offs.
Drew Henson was Jerry Jones' prize, not Parcells'. In fact, Parcells was extremely resistent to playing him, as seen by his benching after just one half of play in Henson's only start. If Parcells liked the guy, he would've given him a little more rope, don't you think?