The issue your going to face with your swap is the difference between the '96-'00 Civic (EK) wiring harness and the '92-'95 Civic (EG) and '94-'00 Integra (DC) harness. The EG/DC harness have 2 harnesses, one that attaches to the engine and one that stays in the car and connects to the ECU. The EK Civic's have a 1 piece harness that attaches to the engine, passes through the firewall and goes directly to the ECU. To use an OBD I engine in your OBD II car you must use the OBD II harness (must fit the car). This will create some issues as the shape and size of the injector and distributor plugs are different (same functions so they can be made to work but I don't know exactly what needs to be done). You'll also need a conversion harness (OBD IIa to OBD I, '96-'98 is OBD IIa, '99-00 is OBD IIb) to plug the OBD I ECU into the OBD II engine wiring haness (the plugs are different from one generation to another). It's not impossible, not even really hard, but not simply bolt together affair.