what should i do with my ls integra.

Slow down, don't spam the forum. Choosing either one doesnt really depend on whether your vehicle is turbocharged. Even though a turbo system has cooling, its still probably a good idea to draw in denser air from the start with a CAI. A short ram has its benefits but probably only if you have your body kit vented specifically for the intake. The intake is probably the last thing you should think about when getting a turbo, you should be more concerned with the turbo system itself and the oil system.

and don't forget fuel delivery, transmission mods (incl. driveshafts), and light engine mods for dependability (mostly cylinder head stuff)