Hey Rob,
I do believe careful removal of the shrink wrap I've circled (and arrowed) below will reveal mini-coax connectors. A way to disconnect and swap pickup inputs. That might be a good place to start.
Also, I think that roughly soldered wire wrapped around the bridge pickup's wire might be connected after all though I can't tell by the picture. Those p/u wires are tiny shielded cables, like mini-guitar cables. A single conductor in the center with a woven shield wire around the outside, plus the clear plastic insulation. It appears they lost the shield connection to the board at some point and wrapped & soldered wire this wire to the sheild to make the connection. Might not have been a successful hack though.
Keep us informed. Exciting!
Jimmy J