Jack,
I would spend some time with an electrical engineer on this one. Yes you could rig up a series of switches to turn them on, but I'm guessing this would end up bring pretty "kludgey" by the time you got them all mounted and wired.
If you used a potentiometer (variable resistor) there are basic chips at radioshack that could read the resistance and display them on a bar graph LED as linked above...
Then again, when you're on the track, if your not at 0% or 100%, you're not going fast enough..
An even BETTER idea would be to use a bi-metallic strip resistor as a "squeeze" resistor to measure "Pucker Factor"