Front tyres... Aways run a good set on the front...
If your front and rear sway bars are adjustable then leave your rear one as hard as it'l go but make the front softer. this will give your more front grip..
My old ke used to understeer on entries alittle when it was wet too. And I didn't have a locker....
Quick yank on the E brake will help you initiate a slid easier too.
Caster and alittle camber will go a long way to making it turn in better...