I think you are underestimating Hayward just a little bit. I dont think he will be an all star every year, but at least someone like Luol Deng. I see him being an all star like 4-5 times in his career. He is almost that good now, and given a starting role, he will only excel.
I also think Favors can average around 15 points a game if he is utilized right, and if needed. I think he could get like 15 pts, 12 rebounds, and 3 blocks per game. Perennial DPOY candidate!
Kanter could be a monster. It seems like every time he gets minutes, he produces. Heck, even when he doesnt get minutes he produces. He is very consistently good right now, and that is awesome. I bet if anyone on this post heavy offense is going to score more than 20 a game, it will be Kanter.
To me, Burks is the unknown. He could be a great player, but if the coaches never trust him or use him right, he could just be ok, and leave after his rookie contract. I think next year is the telling year on Burks (I guess it is for all the players, but especially Burks)
Really, all four of these guys could have a couple-three all star appearances in their career, and I would not be surprised at all.
Like you said, Carroll is Carroll. He will be the guy that fills the role of "Jazz guy" the fans love. Really hope we keep him in the core of the team. I like that he can shoot outside now as well. He is a hard worker.