Y'all got to be talking about the traction control. There is NO way to switch off a LSD. And, there is a slew of miss-leading names and terms out there. It's a new trend with auto manufacturers...don't ask me why. oh yeah! it's called "sales"
Also, if its a 2WD or base model, I doubt Toyota wanted to spend the coin and put a LSD in it. It's far cheaper to add the traction control.
It works off wheel speed sensors and applies the brakes to which ever wheel is spinning....krappy way to do it, and can get you in trouble, but far FAR better than the alternative...an open diff...
Same system that's used for skid control and all the other stuff they cram in it cause people don't know how to drive.