You will notice that powerful rear wheel drive cars will attack turns more aggressively with more slide. Moderately powered front wheel drive cars like the Integra need a different approach. We have to concentrate on smoothness and taking the correct line. You will kill your expensive street tires. You may do it for one event, but after seeing the shape of your tires after that, it will convince you to get specialized autocross tires.
Autocross tires have a much stickier compound and stiffer sidewalls.
Equipment-wise, tires are everything. However, you will learn that your driving will make the most difference. Here are some specific tips that I've learned from my stock '94 GS-R. With stock springs, the car leans like crazy on hard turns. I've easily hit my mudflaps on the ground even with the stock ride height. The stock GS-R's soft springs play a roll in braking and turning ovbiously.