CJ's true position doesn't matter much. He's a player in the mold of Jarrett Jack, Terry, Redick, Bayless, or Gary Neal. He's going to be the primary scorer off the bench and will handle true PG duties for 5-10mpg. After reading up on him and watching highlights, I'm sure he can handle bringing the ball up and running the occasional P&R for that small period.
And besides, if you're going to put someone in the backcourt next to him, I sure as hell don't want a guy who duplicates his skills- I want a true PG like Dre Miller or Livingston.