I didn't add any to mine.
I changed to Amsoil 75W-90 in both differentials about a month ago, did NOT add any friction modifier to my LSD rear differential. I went hunting last weekend out in the Mojave desert, drove over a lot of nasty dirt and rock roads, 4 wheeled the heck out of the truck, never had any problems. Have about 2000 highway miles on the truck with the Amsoil in it, no chatter problems at all.
For what its worth.
Tom