The LS clutches only come into play when your are making turns, so if it makes the noise going straight, you can pretty much rule them out.
When LS clutches makes noises, it generally is a popping or chattering sound as the clutches engage and disengage as they slip against each other.
They make additives that you can add to the rear differential to quiet the clutch chatter when turning.
Is your noise coming from the front or from the rear of the vehicle or can you tell?
It could be a U-joint noise or one of the front driveshaft CV Joints or axle CV Joints or even one of the front wheel bearings.
Place the vehicle up on a rack/vehicle lift and spin the wheels and see if you can duplicate the noise and pinpoint where it is coming from with a mechanics stethoscope.
You can pick up a cheap mechanics stethoscope at most parts stores or order one online.
Good luck and let us know if you find where the noise is coming from!
OEMTOOLS Mechanic's Stethoscope 2 Piece:
https://www.autozone.com/test-scan-and- ... /70131_0_0
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Supporting Vendor and Moderator of LOST05 Jeep Liberty CRD Limited
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