You're talking about two independent things: the 'floaty' feeling and traction.
The floaty feeling mostly comes from soft bushings between the suspension components. Changing out the soft bushings will provide more direct road feedback and more precise control which means less guesswork handling the car at its limits. Driving an M3 will illustrate the difference very well.
Traction is primarily about the tires and the road surface. State what tires you're running. Double-check the pressures and ensure they are within spec.
2011 BMW 335i E92 - Le Mans Blue, 6MT, M Sport. JRZ RS Pro, Quaife LSD, BMW Perf Exhaust