You will have a lot of problems getting the one you linked to to work. Aside from the issues listed above, that engine uses a cable activated clutch while your car is hydrolock, and that engine is pre OBD and you need an OBD I computer, that engine will also be at least 12 years old (you said new engine in your post). They stopped making 1st gen B16A in either 91 or 92. If you want to use a JDM engine, your better off saving up your money and going with a 2nd gen B16A (or the USDM B16A3).

Since the motor is JDM, you will have to remove your stock wiring harness and swap it over to the new engine, as well as add the wires for VTEC and the knock sensor (the JDM harness is designed for right hand drive cars so everything is backwards). Since your LS is OBD I (pre '96) the ECU will plug right in and the wiring harness should swap right over (I never tried it myself before but it should). Here's a link to the motor you want.

http://www.hmotorsonline.com/shop/sc...age&item=30004

From what I can tell from the site, this package does not come with shift linkage or axles (the next one down on the page does), but since you have an Integra already, you should be able to reuse your old stuff.

I won't lecture you on the lack of torque of a B16A as opposed to a 1.8L engine, I'm sure you'll get enough of that, but good luck with the swap and let us know how it goes.