The reason the LX rear end steps out is the OE sub-frame bushes squirm under load. The following pictures illustrate this clearly.
The tell tale marks from the OE rubber bushes are the half-moon shaped rubber burns. The scratches and rusted spots are where the sub-frame has banged and scraped against the monocoque. If you drive your LX to about 6/10s of the car's capability you'll be reasonably pleased with the handling. Push past that level and the rear of the vehicle is going left when the front wheels are headed right.
Replacing the OE bushes with a larger contact area steel and urethane set of bushes reduces this undesirable motion. Here is a picture of a Pedderised LX rear suspension ready to go back into the car.
With the new bushes installed (our SEMA bush ONLY LX) you will be driving a different vehicle. The LX suspension components are rather sophisticated. They respond amazingly well to upgrades. Pedders position is that we start the upgrade process at the foundational level. On an LX those bushes are the rear sub-frame bushes and front control arm bushes. Coils, coilovers and dampers all work better when attached to a solid foundation.