Hmmm... I'd probably bump Asik to the bench in that squad. As good of an offensive rebounder as he is, I worry that the lack of speed, spacing and finishing ability that comes with him is a net negative offensively with that starting unit, while KG has shown he can protect the rim well enough on his own not to require another defensive specialist alongside him (other than for brief "prevent" line-ups).
Start Sullinger instead - his superior hands, finishing ability and range will be much more useful playing with the starters. Use Asik to keep the defense elite when KG rests. Try JJJ in the Taj Gibson role - if that doesn't work, let Green see minutes at the back-up 4 with Asik to help cover for him. I'd also like to bring back Wilcox as a veteran alternative to the two young PFs as well as a completely different look.
Not crazy about the reliance on Mayo for bench offense. I'd much rather bring back Ray's elite shooting and pair him with a defensive guard who can slash and help out more in the non-scoring categories - either Dominique Jones or Roddy Beaubois from the Mavs would be appealing (offer them Moore, Williams and the Charlotte pick for Jones, say).
So this would be my line-up:
Rondo/Jones/Dooling
Bradley/Ray
Pierce/Green/Pietrus
Sullinger/JJJ/Wilcox
KG/Asik/Stiemsma/Melo