Aaaaah, when I put your car down I spotted your E speed hangers pointing up, this (for me) made the car continue to pivot on corner exit. So just turn those things downwards and try it - I reckon it'll have the effect you want
Lifting the gearbox will make it drive more from a corner.
Also, raise the ride height above driveshafts level slightly, this will make it generate more grip.
Do all 3 - one at a time, and if you reach a point where it feels comfortable, leave it be.
Chris