I am in the same position with a new 2021 Rubicon. I weighed it on a scale last week, and with a full tank of gas and no payload (I stood outside), it weighed in at 4,660 lbs, so I have only a narrow buffer, and still need to add bumper, winch and towing hardware. Definitely something I will have to keep an eye on.Keep an eye on weight most Motorhome receivers have a 5000lb limit.
My point is if you are running a 6K bar and a 5K receiver limit be careful how you outfit the Rubicon.
My self since I am at my tow limit and I am pulling with a Ford V10 I am adding Banks Power to the RV, this is a must for pulling this kind of weight especially here in the NW with all the hills and passes. The Banks Power will increase your torque and nearly double your 0-60mph, I also just ordered the The Five Star Programmer for the Ford V10 as this will allow you to program the RV specifically for towing and will improve shifting and performance overall these are both a must for Gas Motor homes towing near max. If you are diesel that is s different story.
How is the Banks Power working for you?