Just when I thought I was finished with this project.
Turns out there are no diodes in the Cool Tec wiring harness.
When I finally got it working I discovered that when the parking lights or tail lights were on via the coach umbilical cord, the electrical systems in the jeep were being powered via a back flow of the power to the lights.
With the jeep battery disconnected and the key on and the brake lights off on the coach, the jeep dash was dark but the moment I stepped on the brake in the coach and lit up the jeep brake lights, the jeep dash came alive. Good grief.
Had to wire in two diodes on each side of the Jeep. One for each brake/turn light and one for each parking light. Four diodes in all.
FYI.... the wires for the left tail light can be located in the left side sill area of the front door in the Jeep. The right tail light wires are located in the front right side door sill area. This threw me for a while since there are a pair of like colored wires for the right tail light in the left sill and I didn't expect to see a wiring bundle in the passenger side sill. I discovered the nature of this when cutting those wires to install the diode; with the wires cut the turn and parking lights still worked on the right side.
Anyway, got it now. It's really not a difficult thing to do but having to work with no instructions and go on hunting expeditions to locate the right wires was time consuming.
In case you decide to go the diode route. (2010 to 2012 Jeep Wrangler Unlimited):
White with green stripe parking light left side
White with orange stripe turn/brake light left side
White with purple stripe parking light right side
White with yellow stripe turn/brake light right side