Last week, I had the chance to get behind the wheel of a couple fantastic American sports cars at the Bob Bondurant School of High Performance Driving: a 2009 Chevrolet Corvette Z06 and a 2011 Chevrolet Camaro SS, RS package.
Just as a side note, Bondurant has been using Goodyear tires exclusively for many years on their cars, when applicable. The main exception is with their Corvette ZR1 program, which is in conjunction with GM, where they use the Original Equipment Michelin Pilot Sport PS2 ZP.
A key point taught during the school was weight transfer. We learned how to use it to maximize the grip of the vehicle's tires. One of the biggest concerns I hear from owners of high-horsepower vehicles is the tires just don't hook up in the corners.
Do you have a good car equipped with the right set of performance tires (such as the Goodyear Eagle F1 Supercar EMT or Eagle F1 Supercar G: 2 RunOnFlat) and drive with the proper technique? Then the car will go where you tell it when the weight is in the right place - if you need to turn, make sure your weight is where it needs to be.