i would think that an auto trans would be out of the question for racing... honda transmissions are not that tough under abuse, and the auto definitely saps some power.
get the teg, get a intake, a good header, exhaust, cams, maybe an intake manifold, etc, find a local tuner and have them dyno tune the car. some will do it for relatively cheap, you may be surprised.
something you may really want to consider if you do buy the integra, is to pick up an old b16a cable trans. the gear ratio is considerably shorter and will make better use of the power you have. they arent very expensive, and might even be a more valuable mod than stuff to increase hp.