You list is long. If you sleep in the Jeep will you have to unpack each night to make room? What about extra gas?
I have a TJ so space is more limited. I am not as serious about this as others and I am a minimalist compared to many others. My experiences are limited. I don't take a cooler, just water, MREs, caned food or whatever doesn't need to be refrigerated. Not having a cooler frees up space. I like smaller water bottles compared to a larger water jug or cans, they pack easier. Bring chairs so you can sit around the fire.
I think somebody mentioned it above but make sure you leave your route and time line with somebody so incase you have issues. This way people know how to find you. CB signals won't travel far but they are common. If you have an issue having a CB (make sure you list the channel you will use on the travel plan you leave) may help if people have to look for you.
First aid kit, map and compass?