This car should run 13's no problem, power isn't the issue. It's traction...if going fast in a straight line as all your after, go for a V8.

On the road a b18c5 hatch will own just about anything out there. I also suggest getting a full Integra suspension to bolt on. You get nice sized brakes, and it handles sooo much better. Look around, you can probably find it for less than a grand. (I did!! )

If you have the cash, then go for a B18C5 or even C1, but honestly a b16a is fine. I got my b16 from k. watanabe for $650. http://www.kwcengine.com/

I have a b16 with some CTR cams and some bolts and this car is plenty quick for me. (sorry no 1/4 times yet)