I had that issue with my JL and now also with my JT for the JL they replaced the batteries and I was good. I have an appointment for this in two weeks with the dealer been going on for over two months and charging the battery does not fix it
If your looking for a smoother ride the Mojave wins and as a bonus is a inch taller than the rubicon
I added Mopar sidesteps to my Mojave when I got home as my wife is short and I liked the side steps as we had those on out Sahara JL