Who would you keep, though?
I say build around Lawrie (duh), Morrow, and Encarnacion as the pieces from our MLB roster, MAYBE keep Reyes if you can't find a good deal, although I don't see a team like the Dodgers not willing to pony up for him. And then the obvious pieces like Sanchez and Gose from our minor league system.
We've got a much better core in place than we did when we started the last rebuild, and I think it'd be shorter.