Sears has a pretty strong purchasing chain, I think they are just hindered by their mall locations. If they can move some of their inventory off to non-mall locations and keep prices down they may do well. However, I don't see how they can do this across the board. If they market the Kmart locations as Sears stores, sell the same items for less, then the mall locations will suffer... because the Kmart locations would be subsidizing them. If they don't do that, Kmart locations aren't going to get any more business just because they change the name to Sears-something-or-other and sell the same craptacular stuff.
So, my guess is that Sears has a long term plan to restructure the mall locations--focus on clothing and other key lines (electronics, hardware probably just because of the history), and build upon the specialty items to Kmart locations (Automotive, Hardware, Electronics, appliances, Lawn and Garden, Furniture, etc). How do they do that without confusing their customers, well, good luck.
We'll see.