Yes, you will get many different opinions regarding braking systems.
I towed a 2003 Wrangler for ten years and now tow a 2015 Wrangler. First you will need to decide between a permanently installed system or one that you set up in front of the driver's seat each time. Obviously the permanently installed one is easier because you don't do anything each time you tow, but they are difficult to install initially. Both require battery power and you will need to add a charge line from the RV. I use the permanently installed one and moved it to the new Jeep. There are many brands out there to choose from, mine is the US Gear Unified Brake, I don't think they are available any longer, I had some issues with mine and am not recommending it.
Regarding your description of how you set up your Jeep to tow, I am not sure if you are putting the transmission or transfer case in neutral. Here is what you should be doing:
Transfer case in neutral.
Manual transmission in gear, auto transmission in park.
Ignition in first position, off but not locked.
Important to have transmission in gear to keep it and transfer case input shaft from turning. The key in first position is important to unlock the steering wheel or you will be dragging the tires around turns, no need to disconnect battery as the key is not "on".
More detailed set up info here:
Flat Towing a Jeep® Wrangler | Quadratec