RE: Splitting Plywood
Is it possible? Yes... but it would require a LOT of work.
PLUS... The center piece would be virtually unusable because it is usually really crap wood
Now it would be easier to destroy the middle layer (since it's crap anyway) and keep the two outer layers, but then you'd still have to sand off the inner layer scraps that are still stuck to it.
When you are all done, you'll be left with two pretty mediocre pieces of 1/8" wood which weighs a lot and has no strength (It's the fact that the wood grain is running in different directions in the plys that gives plywood its strength)
So... possible? Yes.
Feasible? No.
It would be sort of like saying, "If I washed a paper plate to get all of the grease out of it and pressed it in a mold to keep its shape while it dried, I can use it again"
It's just not worth the effort