I've been running 5w-40 for about 80,000 miles at 6,000 mile intervals. I think it's the perfect combo for the 4.0.
Best: Delvac 1
Great: Mobil 1 TDT
Good: Shell Rotella T
x2.
the 4.0L will run happily on just about anything, but seems to be the happiest on a heavy duty oil.
whatever you do, change it regularly and i guarantee that motor will outlast the rest of the Heep