I don't have any neck dive on my EX-1, and I'm not sure quite why anyone would. Especially as on a strap you almost always rest your forearm on the body. My EX-1 does have an alder body, which is heavier than basswood, but it also has heavy self-locking tuners, which does counter the heavy body.
I'd use a meter on the pickup cables. You may be lucky and have just have cosmetic damage. Otherwise its cutting and joining the cables.
The mounting ring screws will need the ends cutting off.