I had something similar happen to me on the 4runner it was weather like this and everytime the compressor came on it lost everything. I didnt notice it was the compressor until the compressor started smoking.
I got the Cruiser fixed and then I didn't. I spent all day Saturday working on the Cruiser. I removed the alarm system, replaced the fuel pump relay, and cleaned up all my wiring from my previous lighting projects. I also cleaned the grounds for my lights. Upon testing, I got nothing. I had a checklist going and fusible links was next. I read online that fusible links can go at any time and sometimes do not present visible burning. I had a spare so I installed it. The Cruiser fired right up and I was ecstatic. I buttoned up all the dash panels and put all the tools away. We were heading out to dinner and I wanted to drive the Cruiser. It started up again perfectly. I pulled out of the driveway and drove about 50 yards down the road to make a right hand turn. As soon as I was in the apex of the turn, the Cruiser died just like before.
I am going to check the old fusible link and the now new busted fusible link. I have a suspicion that the AM2 (gray connector) is the culprit. I need to figure out what hangs off that section of the wire and find a way of tracing it down. I also have a feeling that the steering is somehow tied to the short.
I had a buddy pull the Cruiser back down the road to park it in front of the house.