Chris, a Lock-Right is a lunch box locker, not a full carrier locker. These are well known to not hold up to high torque. There is a big difference between lunch box lockers and full carrier lockers.
Under a high torque application, a limited slip will just act like an open diff.
From my offroading chums, I haven't heard of a full Detroit grenading from a broken axle. It's suppsed to be an issue in front applications with Warn hub fuses or broken hubs, though.
I'm sure that Randy's has some good folks on staff, but I've heard just enough horror stories about their customer service and getting non Dana gears at Dana prices to take my business elsewhere.
I probably should point out here that I've been running limited slips fore and aft for several years in my modified Jeep Cherokee. It's been my daily driver until I bought my CTD. I specifically put in limited slips because I didn't want to deal with lockers in ice and snow here in the Midwest. I'm going to be putting new axles under it, and those will be getting full case lockers (probably Detroits. )