First off, welcome! Glad you found us.
To me it sounds like possibly the disconnect on the front right wheel as well. What sometimes can happen is the fork wears heavily, so the fork moves but is disengaged from the collar, so while the system thinks it is engaged it really is not. How many miles are on the truck? Has that disconnect ever been serviced by chance? Also, has the transfer case had its 50K fluid changes? A malfunctioning transfer case can also cause the problem.
Here's what I would to to test to see which is the culprit. Put the truck into 4WD mode, wait for it to say it is engaged. Then shut it down and jack up both front wheels and put the frame on jack stands so the front wheels are off the ground. Now try spinning each wheel by hand.
If the actuator engaged, spinning one wheel should make the other wheel spin the opposite direction and the front driveshaft remain stationary.
If you can spin the wheels and the driveshaft spins, it could be pointing to a transfer case issue.
If you can spin the passenger wheel and neither the driver wheel or the driveshaft spin, then your disconnect is probably shot.
One last thing it could be (though not quite as common) is the front differential could be exploded. But usually that also results in nasty crunchy noises.