Broseidon
M.F.C.E.O.
You know I have always wondered why learning to hit from the other side wasn't something that was worked on during the offseason during a player's time in the minors. Heck in the NL pitchers hit ... so surely if that is considered okay why not get position players to switch. Can't be any worse than the pitchers.
If guys can reverse and bat better than their same side split it would be great! But looking at Mitch's numbers ... there is only a 20point difference between his career BA against RHP and LHP.
Just speculation, but maybe teams are concerned about injury risk. If you've only ever swung RH, and let one rip from the left side and whiff, it might cause back strain. Besides hitting a baseball is hard enough even swinging the way a player has his whole life.
Related note, I've wondered why there aren't any ambidextrous pitchers. I can only remember hearing about a Yankee farmhand a few years back that was a switch pitcher. He sucked, but I remember there being an issue when he faced a switch hitter. If I remember correctly, the pitcher had to establish which side he was going to pitch from and the batter could then switch.
Unrelated: Seems like being ambidextrous would be a considerable advantage for a QB. You could roll out in either direction and be able to throw without throwing across your body.