My '07 Ram 1500 4x4 has a limited slip differential in the rear (anti spin as Dodge calls it) as does my '78 Camaro(Yukon Dura Grip). They both work great, I love them.
I'm amazed on how well my Ram is in the snow and mud once I put good tires on it. I sold the factory 275/60-20's Goodyear Wrangler HP tires. They were the worse tires I've ever had on a 4x4 or SUV. I put 265/70-17 Mastercraft Courser A/T2's on it. . . . .WAY BETTER! I might go with the Courser CT's next.
My son (10) and I were hunting this past weekend and it started raining. Instead of going home, we went off roading. We went places I never would have thought we could have gone. We had a blast.
A good friend of mine put a Lock Right in his open diff. '93 Chevy Silverado 1500 4x4 back in 1995. 200K miles later it's still working great.
Having 3 wheels getting power makes a huge difference over the usual one in the front and one in the rear. I won't own a truck (or old car) without a LSD of some sort.
Both my truck and Camaro well fish tail a little under acceleration on wet pavement. Once you get used to it, it's no big deal.
NYH1!
