Like LabMonkey said...
Autocross is probably the single most gentle form of motorsports. There are no drag-launches, there are no top speed runs, there are no extended periods of high rpm (unless you don't bother to shift outta 1st

)... Hell, even tire wear is light if you're on properly inflated street tires and smooth behind the wheel. Bascially, autocross is about as hard on your car as a 60 second jaunt around the neighborhood... assuming you drive like a maniac on the street.
The worst thing that might happen is hitting a cone or two... which might be bad if you hit one w/ the FMIC... but cones are usually hit with the front fenders, unless you're MattR, then they tend to get hit by the rear fenders.