The White Sox have some young talent to work with, so they do not need a complete tear-down. A team like Houston did need a complete tear-down, because they didn't have young core pieces. Getting Garcia and Abreu and having good young pitching, is a nice core to work with. There are still more things to get done, but this is a decent start. Hopefully they will stock up on more young talent in the draft and internationally.
The jury is still out on what they are going to do with some of their pitchers, but there are arms to work with. After Dunn's contract ends, there will be more free salary.