There's a difference between "rebuilding" and letting aging veterans walk/retooling the roster.
You don't seem to understand this.
Remember Boston in 2012? They got rid of Crawford, AGon, and Beckett. Then they signed a bunch of guys including Napoli, Victorino, Uehara, Ross, and ended up being a much better team. And they had the payroll flexibility NOW to sign Sandoval, Ramirez, and Price.
EDIT: Are the Dodgers stupid/cheap for letting Greinke walk?