Butler is great, but his inability to shoot the three is a fatal flaw in today's NBA. As far as Bogut helping the Bulls, I don't think so. They can't score with the Cavs as is, they'll have no shot without Butler. Chicago's roster construction made no sense from the start. Rondo sucks, Wade's old, and neither of them can shoot the ball. Unless the Bulls plan on rebuilding the team from scratch, they should hold on to Butler. He's their only player worth building around.
I'll pass on Jarrett Jack. He's one of the worst players in the league according to advanced metrics. And Bogut is such a piece of shit I'll pass on him too. Also, this: