Xlimited-- From your symptoms, you should try the "tape" test described above just to make sure your front drivetrain is actually moving when the transfer case is set to 4WD. If it is not moving, then you have a t-case problem, if it is moving, then you have a hub problem.
If you have a hub problem:
Take a look at the second picture in ahhjaws' write up. (You have to click "Repairs/Mods" on the left of that site he linked to, then select the article on conversion to manual hubs.)
You can follow ahhjaws' procedure to step number 5 on your donor vehicle and then reverse the procedure to install onto your good vehicle. Then just swap the outer hub assemblies as well to be sure (since you said you know they are good.)
The following is probably more info than you need, but I always think its helpful to understand how things work so you can see what, if anything, is broken and avoid breaking them in the future...
That aluminum piece ahhjaws is pointing to with the screwdriver has three square tabs on it-- this is commonly referred to as the "cam" and is made out of plastic in some older models. If your's is the older model with the plastic cam, it will also have two plastic "thrust spacers" between the axel nut and the cam assembly. The shape is similar whether aluminum or plastic-- anyway, the square tab things act as "stops" for the cam mechanism inside the outer hub assembly so that it will lock into place. (If you were to disassemble the outer hub assembly, you'd see that the little "ramps" on the inner and outer cams push a small gear inside the hub assembly toward the outside of the hub so that the gear locks the hub to the internal splines.) Without those little square tabs, the cam on the outer hub assembly would slide up the ramp on one side (locking the hub) then slide right down the other side (immediately unlocking the hub) resulting in a complete failure to lock. The hubs usually break when "rocking" the truck to get unstuck (since the hub would have to unlock and relock in the reverse direction under significant torque each time you rock) or any other situation where a significant load is put on the front wheels at the time that the hubs are engaged-- such as putting the truck into 4WD when stopped on a steep hill, then hitting the gas to try to go (I did this once). What happens is the cam on the outer hub assembly spins up quickly and chops off those little square "stops" resulting in the failure.
Good luck with the fix. Let us know if you have more questions.