no one has attempted to transfer the JK guts to a TJ case
Definitely not what I was suggesting...though there is some evidence to suggest the innards are the same or very similar. I came across a rebuild kit that listed '05-'06 TJ as well as '07-'18 JK and a number of other Dodge/Chrysler vehicles.
I was suggesting that the gearbox portion of the transmission was possibly the same, or at least similar enough to be swapped, regardless of bellhousing used to suit any particular engine. That said, given the photos I've been seeing in researching the NSG370, it would appear that part of the gearbox is actually housed within the rear portion of the (extended) bellhousing, making what I was suggesting much less likely. It's been a long time but I recall gearboxes being self contained subassemblies, this does not appear to be the case with this one, and quite possibly all (relatively) newer manuals.