So many problems it's hard to know where to start. In no particular order:
1. The roster is shallow and poorly constructed. We've got one good offensive option, and when teams take him (Derrick Rose) away by clogging the lane, we have no consistent way to score. This is made worse by the fact we've got no shooters who can create space for him.
2. Despite the fact that everyone knows we've got this obvious problem, our offensive scheme, insofar as a mortal man can understand what monkeys have scribbled, seems to involve endless pick and rolls that don't result in the obvious solution of getting Rose to the basket, creating dunk opportunities for Noah, or jumpers for Deng, but instead on switches where Deng or Salmons gets a contested shot or Rose takes a jumper with six guys in their face. There's also lots of meaningless passes around the perimeter where nobody actually looks for an open shot when they get the ball. I don't really know what the hell they're trying to do.
3. Defensively, they don't have a lot to work with, but they somehow still make even less of it. They never, ever fight through screens. This is compounded by their seeming desire to have their bigs come out, show hard, and pick up perimeter players routinely. This sort of works when we're talking about Joakim Noah, who's athletic as all getout. It's a terrible strategy to employ with Brad Miller or Aaron Gray, and has comical results. It's not even that great with Noah, because it leaves Taj Gibson (frequently) to get rebounds and he's not a very good rebounder. All in all, they play an aggressive defense they obviously have the wrong personnel for. In fact, it's about as polar opposite of how they should play as you can get.
4. The more veteran guys, Miller, Deng and Salmons especially, are not exactly leaders and tend to shrink from big moments. But they also don't seem to want to give any shots up and seem to look off the younger and fierier guys at inopportune times.
5. They've suffered a couple injuries and weren't very deep to start with.
All in all, it's a big time mess. I think there's some talent there, but it's not talent that obviously works very well together. Hinrich's best use is wasted here. Salmons as the second or third option is awful. Deng is quite a bit more of a half-court player who does little to create space for Rose, and he doesn't seem obviously willing to work hard to become that player.
If I were the GM, any reasonable offer for those three players- Deng, Salmons, Hinrich - would be acceptable.