The neck on this guitar is not a bolt on it is a glued in, or set, neck. replacing the neck would be much more expensive then shaving the neck.
This maybe a silly question, but why not just buy a whole new neck and headstock? You don't have to worry about a botched shaving job, and you can always sell the stock neck later to recoup some of the cost for the new one.
The guitar would never sound the same if you did that. The point of the set neck is to help with the tone and sustain throughout the whole guitar. Disconnecting the dove tail that holds the body and neck would basically destroy the guitar.