TKA,
Any Jeep "Wrangler" (that term was even used for some of the CJ models) prior to 2012 is extremely simple to wire for towing, using the jeeps tail lights as toad lights. We've towed SEVEN different Jeep Wranglers, each wired the same exact way, in the same exact spot, using the same exact system, each and every time, and not one issue.
Without seeing just how you wired it and, where it's tied in and, the installation of the diodes, this is a tad difficult to analyze just what the problem is. I will say this. If, your motor home has amber turn signals, it has (most likely you already know this) what's called a three filament system. But, depending on if the coach was done prior to you purchasing it, it should have a COMBINED output, for each side, i.e. Right turn/brake and, Left turn/Brake in the output at the trailer plug.
With that being said, then those wires, travel through the pig tail, and, into the jeep. If it was wired in this manor, i.e. Rt/brake "T" into the right turn brake on the Jeep, then, do the same for the left, left turn/brake "T" into the left side. A diode is placed in front of the "T" intersection of each of those connections and, that stops the signal that's incoming from the motor home, destined for whichever tail light, from back feeding to the steering column of the Jeep. You can "T" into the running light wire in the same area and, there's no need for any diode in that line.
Speaking of "where to do all this" The Jeep wrangler is insanely simple when it comes to that. You see, all the wiring for the Jeep wrangler tail lights is, right next to your left calf as you sit in the drivers seat of the Jeep. It's all under the door jamb lip. All you have to do is, get your trailer wiring to that point, then undo the loom at that lip, then, expose the right turn/brake, left turn/brake and, running light wires. Do your "T" and diode work right there and, you're done. You will not have any issues what so ever, if done that way.
Your choice, good luck.
Scott
Scott and Karla SDFD RETIRED2004 Itasca Horizon, 36GD Slate Blue 330 CAT
2011 GMC Sierra 1500 Ext Cab 4x4 Toad
2008 Caliente Red LVL II GL 1800 Goldwing KI60ND