Ideally, sway bars will be used as a tuning device once you have the proper spring rates. Throwing a big sway bar at a car that is too softly sprung will generally lead to and amplify the issues mentioned above (overloading outside tire and often lifting the inside).

Not sure how your car is set up, but if you have a stockish E body, a mild sway bar increase can help, but don't just stick a huge bar on it and expect the handling to get better.