Carta and Bluetwo raise very good points.

Anything short of a bolt-on turbocharger will not produce meaningful gains on an automatic transmission Integra. And the internal design of the auto trans makes it fragile, so more money would need to be spent reinforcing the Integra trans to handle the power of turbocharged motor.

I would recommend that you focus on suspension tuning, starting with a set of lightweight, strong rims and quality tires.