A-Rod was never very popular to begin with, but I think he'll find that fans (if not the media) are a lot more forgiving of a player who (a) 'fesses up and (b) apologizes. Smart move.
(Longtime readers know that crisis management is one of my favorite topics. HOW someone is reacting to crisis, not simply what that crisis may be. A-Rod will pull this off. Now, he only needs the contrition tour: He can start with Gammons, but he's gotta hit Costas on MLB Network, PTI, Baseball Prospectus, the whole gamut.)
For those who like punitive justice, might I suggest subtracting (or asterisking) 156 HR from his career total, covering the years from 2001-2003 that he was in Texas and admitted to using PEDs?