It's an old thread, but to share my experience...I recently re-wired my 360. I'd been having problems with intermittent signal for a while and then it just kinda stopped working just before Christmas at a rehearsal.
Opening her up, the wiring was an absolute mess with some really ugly, messy soldering all over the loom. I can only assume that the previous owner had tried something out and then put it back together sloppily. Really really sloppily.
Given that it was in such a mess, I decided that rather than try and find the specific problem and fix that, I'd just unwire absolutely everything, clean up all the components (both from solder and with good ol' contact cleaner) and then re-wire using my 360-12 as a guide for what goes where.
Some lessons:
1) if you practice soldering a couple of times on other things (not your guitar) then it doesn't take long to get confident enough to rewire a guitar.
2) if you're an amateur / noob like me, a photo of what everything is supposed to look like is more helpful than a wiring diagram
3) a complete rewire and component clean can give a surprising improvement to tone and feel (I'm sure a good chunk of this is psychological but I don't care because I'm happier and that's all that matters)
4) despite a lot of issues, not a single component needed replacing. It was all good quality stuff that just needed some TLC (and contact cleaner)
5) buying the stuff needed to rewire when you don't already own it may be nearly as expensive as taking it to a shop (good iron, stand, helping hand thing, wire, solder, flux, contact cleaner, solder remover wick, solder sucker...) but once you've got it you've got it.
Oh, and...
6) the re-wiring was probably un-necessary. In my case the issue turned out to be a busted pickup (which i was able to fix by taking it apart and resoldering the core to the output wire). But I had fun, now know a bit more about my guitar, and re-read (3), above!!
