When i was driving it (both manual – stick, and auto) and turning a quarter turn hard left and right, to see how it swerves, it felt like it wasalmost tipping over. This would seem like a major issue if you were travening at speed and sweving to miss something. I did a similar thing in some other 4wds and they did not behave this badly. What I want to know, is what have people actually done to fix this? New stiffer coils didnt change it much, so I wonder if stiff dampers may make some sort of change.
The jeeps are built for off road, so they have high centers of gravity and less than sporty suspensions. That is what you get with a Jeep.
What Jeep did was to widen the track. Add spacers behind the wheels, and consider shorter shocks to lower and stiffen the suspension slightly. But most important is practice. Much of the problem is drivers over correcting, forgetting how tight the steering radius is.
Actually we do nothing to fix it. You are driving a vehicle with a high center of gravity and a short wheel base. It is designed to be driven off-road where both attributes are considered and advantage. In fact most off-roaders go farther by installing lift kits and removing or at least disconnecting the anti-sway bars to give the vehicle more ground clearance and the suspension more articulation. Those other 4X4 are just Jeep wannabes. If you want to go around corners in a hurry get a BMW Z4.