Maybe someone else can chime in on this. I have always diagnosed bad motor mounts by symptoms such as:
• Increased engine vibration/noise in the passenger compartment
• Motor setting lower in the engine bay. Usually noticed by the decreased clearance between the K-member and the oil pan. Next is the increased clearance between the throttle body and the strut brace (if equipped).
• A motor supported with stock mounts should rotate in response to torque. If it moves up/down or doesn't move hardly at all, this indicates a problem.
• Age/mileage of the vehicle.
There is the old standby method of looking at the mounts to see if the rubber is cracked (not always possible while still on the car).
I have read to use pry bar on the transmission. Almost any movement is bad.
In your case, if you do not find any obvious source of the noise from the engine/transmission mounting, don’t forget to look at the rear differential itself.
The suggestion about the spring perches is a good one. However, IMO, if the spring perch angle proves out, I think there will be other contributing factors as well (control arm bushings, shocks, quad shocks).
In short, look for anything that can cause the differential to move (or rotate) more than it should. Pay close attention to any modifications done previously (lowered,
control arms, aftermarket bushings).