We are all trying to tell you this but you aren't understanding it. It's ok, I didn't get it until yesterday either so maybe I can help explain.
But just ignore that stupid "DEF" column next to a player's WAR. They put these positional factors in there that make that number worthless. For example, Mitch Moreland is one of the better 1B in the game, and if you scroll down and look at DRS and UZR/150 like we are all telling you to do you will see that. But if you look at his Def column he looks like has always sucked because his Def # is always negative. They downgrade his Def # because he plays 1B and they've done it to the point that even the best 1B get negative numbers.
It's better to look at DRS and UZR/150. In 2010, Jose was worth -1 run in the OF according to DRS so he was basically average. In 2011, he was -4 runs, so slighty below average. In '12 and '13 he was actually plus 6 both years. Last year he was -8. That's pretty bad, especially in what ended up not being a full season. It's probably still playable if he hits but it's bad.
The point is, Jose Bautista hasn't really been a bad defensive player. Never a great one, but he's only been bad since he was old. So you're theory that no one cared about his defense in 2010 and 2011 when he could hit is just wrong on its face because he wasn't bad at defense then.
NOW QUIT LOOKING AT THE DEF COLUMN IN FANGRAPHS