You could make the case strictly from a baseball standpoint to go either way, "go for it" (again) or "blow it up."
But unfortunately with the White Sox it's never that cut and dried. There are simply to many other factors that are involved.
My guess is that unless something completely off the wall goes down you're going to see the same approach, "rebuild and contend" at the same time philosophy.
History has showed over the past decade that hasn't worked very well. Good enough to honestly compete in a weak division, good enough to at least have a winning season but not good enough to seriously contend for a championship.