Better tires and maybe stiffer rear springs.
Back off on the rear swaybar and go with higher rate springs in the rear. A bigger front bar seems to help too. Mine would skip occasionally but It would have to be at least a 90 degree turn.especially on corner exit if im not easy w/ the throttle, the tires will just spin and spin.
Fairly worn? Those things are toast especially in the wet which I'm sure you see quite often.(Fairly worn but still around 2mm tread, new ones going on when I get home next week)