If your car is registered in California and it's newer than 1975, then you have to get a smog check every other year. If you change the engine, you're required to submit the vehicle to a State Smog Referee for inspection, which consists of a visual inspection and an emissions test. An engine change inspection can only be done at a state referee station.
My engine was from a 1990 C2. Nowhere on the paperwork do I see the engine number - it appears they took my word that the engine was a California-spec 1990 engine.
According to the docs I have from BAR, you do NOT have to run a cat, irrespective of the year engine you intall. This is because non-cat cars do not have a body design to accomodate the cat (or so one theory goes). From reading close, it would appear that the cat is considered part of the *car* and not part of the *engine*.
I have B&B headers on mine, and it didn't raise any questions at all. My custom ABS sewer pipe intake didn't raise any issues either, because there are no sensors in a stock airbox - they're in the air flow meter. I could use a pair of pantyhose for an air cleaner and it would be legal.
California BAR Engine Change Guidelines
Bosch DME manual pages I used to show 1990 C2/C4 engines to be exempt fro the
"Check Engine" light
My paperwork from my failed first attempt at getting certified