remember, you have obd issues to deal with. because you have a jdm engine the wiring harness is going to be in the wrong place to match up with the cx harness.
if i were you i'd buy an obd1 integra harness and obd1 integra distributor/injectors/ecu to make things work.
another way could be using an obd2 engine side harness from an ls integra and getting a wiring conversion harness.
email me if you want detailed information on this...because i need to know exactly what you have before i can be sure on what needs to happen for your setup to work.