I definitely think what Bazz has done in the games against the Cavs, Warriors, and Spurs is show what everyone in CT (and Lebron) already knew, the kid is just flat out a winner. He studies the game and he knows what it takes to get an edge as an undersized, reasonably average athlete. He's done what he did in CT that caused the fanbase to rally behind him even before the championship this year, he can just will a team to a comeback and win in the closing minutes.
It might not happen at the very start of the season but I think by the end, barring injuries he will be the Heat's main PG. Chalmers and Cole will still be getting minutes, but I think Bazz will have distanced himself as the "man" of the group of 3 guards. He just carries himself in a way that sets the tone for other guys on the team, Chalmers is always whining and complaining, Cole just acts like he's a god on the court (which he is not). Shabazz keeps a rapport with the refs, acts like a coach on the floor, plays with attitude, and wont be afraid to say something to Bosh if he sees something in the D.