If you're looking to build the ultimate street car to street race (not a good idea with cops really starting to crack down hard on that), you might want to consider a different platform. Integra's a nice car, but if you want something FAST, you'll never get it from a FWD 4banger. Quick, but never the quickest. If you're looking for power, get a TT Supra. If you cant afford it, surprisingly mid to early 90 300zx TT's can be found for very cheap and in great condition. Many people overlook the car, but with very little money it can easily destroy pretty much 90% of the cars you come across on the road.
But, if you really love the integra that much, I wouldnt try and make it into the fastest thing on 4 wheels. You probably never will. Its just the limitations of the car. Its small, its fun to drive, but it'll never be the fastest car out there. There's always a little bad with good. And even when you're modding it, there's always the classic rule to follow - Cheap, Fast, Reliable, you can only have 2.