I changed to Mobil 1 75w90, plus friction modifier purchased from Carson Toyota, and
have had chattering for the past 15k. Tried adding another tube of friction modifier and still had chattering.
Just changed oil again (now 30k miles) and used Pennzoil GEARPLUS® SAE 80W-90 GL-5 GEAR LUBRICANT I found at K-Mart by accident. I was planning on using Castrol Hypoy C with a tube of the LSD additive, couldn't find the Castrol product, and the wording on the Pennzoil changed my mind.
"It is designed to reduce or eliminate “chatter” that can sometimes occur in limited slip differentials." says the data sheet at
http://www.pzlqs.com/Tech/Pdsheet/In...rLubricant.pdf
The data sheet also states: "In addition, PENNZOIL® GEARPLUS® SAE 80W-90 GL-5 is
fully formulated for all limited slip differentials."
The bottle actually states that no LSD additive is required, and in fact is not recommended.
It sounds like this stuff is made to work in LSD's straight out of the bottle.
My chatter disappeared immediately

. I will use the same product for my next LSD change.
I will still use Mobil 1 75w90 for the transfer case and front open differential.
Hope this helps.