A suspension question that can't be answered through search

Well -- all things are relative. While it may feel reasonably flat cornering compared to other vehicles you've driven, if you've ever seen a stock Fox body on a road or autocross course, then you know that even with high quality shocks when pressed hard in the corners they have body lean that matches that tower in Pizza.

There's much to misunderstand about how suspensions work. The shock damps the motion of the spring. Left to it's own devices the spring wants to continue to oscillate. The shock stops that. But even gas pressurized shocks do little to impact spring rate. You can get a much flatter cornering car by increasing spring rate, but you pay a huge price not just in ride quality, but in the hammering the structure takes - which introduces new rattles/vibrations. Body roll control without undue harsh ride is a function of sway bar selection - the sway bars transfer some of the cornering load from one side of the car to the other resulting in a flatter cornering car, and more equal load at all 4 contact patches.

To achieve what you're asking about, as others have suggested, I'd start out by leaving the springs stock (if indeed they are), and installing a high quality set of road-shocks (I use Bilsteins on my vehicles; you need to be sure you don't have drag race oriented shocks with little rebound damping/big compression damping on your car), and a good quality set of aftermarket sway-bars - preferably with some adjustability in the rear. This will give you some tunability. If you're still looking for more cornering power, I'd focus next on a light-weight set of wheels and very stick tires. The proper tire is the single most critical component in making any vehicle handle better. I'd try that before I started messing with springs. Chances are you can achieve what you're after with the stock springs. I've seen thousands of dollars spent on suspension components on cars with a very poor selection of wheels and tires - never can understand it.