Ken:
There are alternatives to hacking into your Jeep wiring system and adding diodes, toggle switches, fuse disconnects etc.
There are many detachable wireless tow lights available. Sender module plugs into your motorhome just like regular trailer lights and you can strap or attach magnetic lights to the rear of your jeep. They make wired versions as well (very inexpensive).
Both types (wired or wireless) allow you to avoid modifications to your jeep's electric. They detach for storage when not in use and meet legal lighting requirements for towed vehicles.
Biggest problem for a Jeep Wrangler might be finding someplace to attach the lights although based on the pictures I see online the lights could likely sit right on your back bumper.
I agree with most others that the Readybrake will not wear down your battery if it is just activating the OEM brake lights.
Anyhow, something to think about.