The sport model LSD is viscous, it is a design that is very durable on the street but becomes less effective (or ineffective) as the diff fluid temperatures rise which make it not very popular on track. It is also going to cost extra in parts thanks to requiring different stub shafts.
A unit like the Quaife is a mechanical torque sensing differential, it is going to direct torque bias to the axle that has the most grip up to the limit of the torque bias ratio. It is a straight swap for the base diff and still has great street manners and in also good on track provided you like to keep all your wheels on the ground
The other aftermarket differential option is a clutch type differential (like the Carbonetics). These units have clutches that come together under acceleration (power), and depending on configuration also potentially under deceleration (coast). The amount of lock up is dictated by the number of clutches inside the core. The pro's can rebuild the units to alter the amount of lockup they need for a given car or even a given track. The clutches will also stay locked if you go over a curb bump that gets one wheel airborne (provided you were on the power of course).
Bottom line is the Quaife is the best all around upgrade for the base. For the sport model the Carbonetics is probably your best bet.