For all you naysayers, citing computer/electrical problems, I hope you are aware that there were Allison transmissions BEFORE computers!
To the OP, get an Allison hydraulically controlled transmission with no computer inputs or outputs, and it will bolt right to the Cummins engine, with the proper converter drive plate(flywheel). Now, that being said, I do not know if the floor pan of the Dodge will have enough room for the Allison, that may require some fabrication work to enlarge the transmission tunnel. There is also a good chance that custom driveshafts may have to be fabricated.
As has been stated, it CAN be done, it HAS been done, and it will quite likely be done again (I just might do it myself one of these days).
All it takes is the will to do it, time, and money. Just a semi-uneducated guess, but I would say less than $10K, and about a month for the actual work.
Let us know if you do it, and post pictures. Like I say, I might want to do it on my truck.
CM1, USN (RET)
2017 Jayco TT
Daily Driver: '14 Subaru Outback
1998 Dodge QC LWB, Cummins, 5 speed, 4X2
2 Kawasaki Brute Force 750 ATVs.
Pride Raptor 3 wheeled off-road capable mobility scooter
"When seconds count, help is only minutes away!"