I don't think Harrelson was saying the White Sox as a team have the will to win. I think he was saying that to build a winner you have to have players who have the will to win.
Sabermetrics people had no problem with the Adam Dunn signing. Fans have since complained pretty much that he hasn't shown the will to win. Not having the will to win was something White Sox fans regularly accused Javier Vazquez of not having the will to win.
The reaction here seems to be as if Harrelson said the White Sox will prevail because they have the will to win. What I heard is what fans have always wanted to see from their teams, and what White Sox fans often complain they don't see from theirs.