Coilovers are the way to go, you can adjust them to suit your style.
Stiffer helps but too stiff and the wheels just bounce over every bump, bound and rebound settings are just as important as spring stiffness.
Drops of around 30mm improve cornering thanks to the lower center of gravity but going lower than this and you'll hit every kerb and speed bump with your bumpers and wreck the ride in most cars.
Tracks are smooth and flat so they can get away with very stiff and very low suspension, but this does not equate to the roads.