The abs brakes on a 2001 Chevy cavalier when engaged make the steering wheel shake really hard and go way to fast?

abs brakes will not shake the steering whel, only make your brake pedal viberate very quickley, "not a pules of strobe" if the wheel is shaking you have warpped rotors. have your brakes checked at a brake shop. most will preform an insp. and est. for free, ie- midas, monroe, ect... call arount and see if they can do it. let us know how you make out.

you say they are acting too fast, do you mean they come on just befor a complete stop? if so it may be a wheel sensor, but that concern happens only just befor car comes to a stop. slower than 10 miles per hour.

check alignment and front end parts as well, may be a little loose.