I am a right handed person. I do everything right handed, including golf (which I would not be able to do left handed whatsoever).
However, when I was roughly 7/8, my tried to see if he could teach me to be a switch hitter. I practiced Left handed batting so much (because once I got the hang of it, I could hit much further that way).
Now, I consider myself a lefty batter (I'd prolly have a tough time getting it out of the infield batting right).
Anyway, batting lefty is awesome, one step closer to first base to start with... in the City Men's Softball league, they put the bad players in right field... It's kinda nice being a lefty batter. Plus, my golf swing doesn't interefere with my baseball swing since they are different directions.