I really like your sleeping platform. It's very close to what I have envisioned in my head to build for mine....... I'm curious how much length you have in a JLU to sleep? I don't have enough in the JKU presently but I took a chance on a solution to that problem and we will see if it pays off.
I have just about the same amount of length as I am tall, 6'2". IIRC the Deep Sleep for Jeeps mattress I have is 74 inches long exactly. To get this out of a Jeep you do have to fold AND slide the seat forward. They don't tilt forward much though, not even to a true 90 degrees I don't think, so sliding is absolutely necessary. This then creates a hole in the footwell between your sleeping platform and the back of the seat which you need to stuff with something to support your air mattress. It isn't perfect, but you're sleeping INSIDE a Jeep and this makes me very happy. After about a 2 week trip I'm ready for home again.
A couple of tips:
I always have soft gear with me so filling in the footwell space is not a big deal, just takes a minute to get ready for bed. No fun in a rainstorm but not really a headache. Living out of a Jeep, even for one, requires organization and constantly moving gear around in my experience.
Also, I have found that I'm much more comfortable sleeping with my head to the rear. I did not expect this to be the case. I find it easier to sit down in bed from the rear passenger door, pop off my shoes and then lay down towards the rear, my head beside my fridge. It's narrow but did I mention you are sleeping INSIDE a Jeep? Lol. If you sleep head forward you have to pivot around to get laid down. Just more or a pain IMO. Easier to sit up, stand up and go pee in the night this way too.
Another tip, if I really want to stretch out, with my head at the rear door I can move my feet over and rest them on the center console between the front seats. Works amazingly well and is quite comfortable.