This is a picture I took of James Stickler getting on the gas exiting a turn while we were out riding here in town.  This is some serious traction, he is going about 50 mph at exit of a turn and getting on the gas, lifting a 300lbs bike and a 140lbs rider.  Notice how he is up on the pegs increasing his I value so the bike will come back down.  This bike has an amazing amount of traction.

This VW Rabbit is suffering for a bad suspension, notice that one tire can't apply any force to the car, since it in the air, also notice how the passenger side front tire is deflecting really bad, its getting most of the forces on the car.  This shrinks our circle of traction quite a bit.  A good chassis lets races win races, expecialy in road racing.  For example the viper in the GTS class has much more power then the corvette, but the corvette wins most of the races since it can keep its wheels on the track, and take turns much faster.

This graph shows how important it is to keep your tires on the ground with a good shock and spring setup.  The springs help the tire follow the inconsistent parts of the road and the shock critically dampens the harmonic motion of the spring.  A good spring setup can also help load the car, for example nascar cars use springs with a different k value since they only turn left.  This helps load the tires equally so there is more traction available to the driver by not overloading the tires.  (How to Make Your Car Handle)