Now that I've fully documented the wiring, replacing it is straightforward. To do this right, however, I needed about 30 different kinds of wire. At 8 bucks a roll, that would add up to quite a piece of change. So, I scrounged as much wire as I could from friends, surplus stores, etc. In the end, the wire below ended up costing about $100.
Lots of wire
Burned wire
Here's a look at much of the wire that was taken out of the car.