By the way, I'm not overly impressed with the analysis of the ESPN Insider article cited by the OP.
This is the Bulls package that he thinks gets it done: Taj Gibson, Carlos Boozer, Tony Snell, draft picks
As much as I like Gibson, I'm not sure how taking on Boozer's bloated contract, Snell, and a couple of non-lottery picks is better than Sully + #6 + additional picks + shedding salary.