Our F150 has factory limited slip. Probably time to examine the clutches and steels. It doesn't slip much. It is a 5.4, with 3.54 gears, I think. It can spin the tires if I demand it.
Maybe you have 3.73s? Maybe the rear end needs tightening up?
We had a couple, of Dodges with gear lockers, in the rear end. Even with the 3.18 it was exciting on wet turns. There was more wear, on the rears from turns. The gear lockers don't slip much, at all, under any power, in turns. Got pretty good tire wear, on the 2000 Dodge though.
Bad alignment, even if with factory tolerances can wear tires,on edges and cup etc. Having tough time to get Dealer to set exactly on spec and not with tolerances. He doesn't know or care but I think he just lost a Customer, if I don't change my mind.