I understand what the OP is trying to do here. His basic question is how far the vehicle has to be disassembled before it is no longer considered a vehicle, thus removing the requirement for titling and registration. For example, if he were just to have the body of the vehicle with no frame, would it need to be titled/registered? What if it was the body on a frame with wheels, but no drivetrain?
I think the OP's question would be best answered by contacting the NC DMV directly and speaking with them. He'll probably need to take this up higher at the DMV than just a front-desk worker.
In any case, this won't magically solve his problem with the city. Even if he can get around the titling/registration requirements, the city is still not going to allow a junk vehicle to just sit in view of the public.