The Type SH Lude does not compare with an Integra Type R. The ITR had all kinds of cool upgrades, like higher compression, higher redline, LSD tranny, tighter suspension, the list goes on. The only difference between the base Lude and the Type SH is an upgraded suspension and ATTS, which is a sorry excuse for an LSD. Now, if you'd like to compare, check out the Type S Prelude which was only manufactured in Japan. Tighter suspension, upped compression, ported head and intake manifold, LSD tranny, yada yada yada. THAT'S what you need if you wanna compare top-of-the-line Preludes and Integras.
And my advice to you would be to swap an engine, either an H23 if you'd like to boost, or an H22 if you want to stay N/A.