No swapping parts with other cars, but you can do a minor mod to the front axle so it stays engaged (but not in 4x4) See vacuum front axle mod in Eaglepedia.
That makes it so you have a vacuum bottle, a line coming from the intake to it (make sure it wasn't plugged off first. Hooks in behind the carb on the intake), one from the bottle to the switch inside (should be center hose. You can test for vacuum there by unplugging from the switch and putting your finger over the hose end)
The other 2 hoses on the switch are engage and disengage. (vacuum switches between the two for 4x4 and 2wd) These two hoses then only need to go to the vacuum "motor" on the tcase. Assuming it isn't rusted up from sitting (very common) there are 3 line fittings on it.
The one closest to the linkage can be plugged for the bypass (if permanent I suggest siicone sealer and a vacuum cap) The one in the middle engages 4x4. The one on the end is to shift into 2wd. (I forget the proper colors, but it didn't matter at the time)
This now makes your tcase shift on the fly except you need to remove the button on the 2wd to 4wd switch on the dash. The vacuum junk was realized by AMC/Jeep to be inferior and they did away with it after only a couple years. '85 to '88 are non-vacuum front axle. '80-early '81 as well.
If you're determined to pull your hair out and try to return it to stop and shift OEM, here's the diagram link:
http://oljeep.com/gw/vac/eagle/EagVac.pdf