If the Corvette is complete and you transplant everything in the engine compartment you probably won't use any engine wiring from the truck. There won't be much "integration" because you won't need wiring from the truck. This solution will work, but it will take time to move it all over correctly. One caveat - If the Corvette has antitheft (VATS) you will have to also use something to bypass it.
If you have the time to do the work, this transplant is probably worth it since you are only spending your time, and it sounds like you already have the Corvette. But if you need to buy a lot of parts to make the Corvette drivetrain work then there might be other alternatives to consider.