Well, technically since the areas of your brain that control vital operations of your body not on both hemispheres, likely both bodies would be dead.
I know, that's no fun.
Consiousness, best I can tell, is really just a collection of different sensations brought about by various senses. Or, as others have said with less words and more clarity; it's not a single thing, but a collection of things. Therefore, if you did manage to "split brain" transplant into an empty body, you'd have two un-shared consiousnesses, though they'd each be made up of whatever senosory abilities they ended up with.
To look at it another way, say each half devlopes into a fully-functional brain. Now you're still standing next to the other body. You experience the pain from the surgery to open your skull. You smell the aneseptic smell of a hospital room. And you see your friend Bill looking at you with his one un-decomposed eye.
Bill feels the pain from his skull being opened (and from the various body parts that decomposed partially until you generously donated your brain). He feels a draft, because the nurses forgot to tie closed his hospital gown. He smells the aneseptic smell of the hospital room, but also the gas he just passed that hasn't wafted your way quite yet. And he sees you, looking at him with an expression of pure horror as you realize you just brought a zombie to life.
There you have two completely seperate consiousnesses. Now you may ask if you two will "think alike"...but our ability to reason is learned, and based off our life experiences. Assuming those were transfered aswell, then yes, at first you'd probably think pretty much alike...but personalities would diverge based on the experiences you have after the split.
That's my best stab at it, but I'm not a doctor (and I don't play one on tv!)...so take it for what it's worth.