For the record, there are a couple of teams who can pull off dealing top players during a top of the division stay. To be able to do it, you have to be willing to do one of two things.
#1 deal from a position where your farm system is giving you players to replace the ones you are dealing.
#2 spend in the free agent market
Which of these sounds like the White Sox?
In order to deal Hendriks the Sox would need to have another closer in place, plus someone to replace all of those innings that the domino effect of moving guys forward would create. Internally, sure maybe ReyLo or Graveman steps forward. So who steps forward into the middle relief roles?
Do the Sox get a major league starting LH RF or 2B for Hendriks? If not, what do they get? Is it someone they can then move to fill one of those holes? If not, does it free enough money to sign these replacements? Again, I still don't see it.