Reasons I wouldnt:
1) He isnt playing his best consistently at the moment.
2) His Ryder record isnt all that stunning
3) In general Im not a fan of picks anyway. Take the guys who have been playing the best, and try to strategically match them.
Im hoping he doesnt get picked because:
1)I hoping it will have a tremendous impact on his mindest for 2015. That would be the first time I could recall that the golf world will be telling Tiger "Hey, we dont need you bud - there are better people playing our sport." I would hope that would lighten that competitive fire in him, which would produce another 3-5 wins and maybe a major.
2) (related to the 1st) Even when he missed the Masters this year, going into it there was so much discussion around him not being there because of injury. But if he were deliberately left out, once the media gets over the initial reaction to the announcement, they would be more inclined to focus on the actual Ryder Cup, and not Tiger in the faulty rain gear putting on his hoodie. The American chances are not looking hopeful this year, and even if its a bad outcome, him being there would have little impact I think.