I'm in the middle of it myself, with a 1983 Aurora Cobra. It's factory built with same year engine and VIN. Your car is from out of state, so must comply with CA regs...If your car was NOT factory built (same year engine and VIN numbers), you'll fall under the "specially constructed vehicle" application process.
The DMV will require a smog "sticker," which, from the factory, is a diagram under the hood showing all the smog components installed. Without that sticker, the DMV will send you to the referee service (California Bureau of Automotive Repair [BAR] Referee Center:
http://www.smogcheck.ca.gov/StdPage....s-Jun_2003.htm) to get smogged, and you'll then have the option of installing components in compliance with the year of the vehicle number OR the year of the enging number. Even if you pass smog, you'll still need all the emission components consistent with the year you choose. (Pre '76 requires no components, I believe) Once you have the approval and sticker from the BAR referee, you can register title with the DMV.
Another option: Under the Calif. Senate Bill #100 process - new titles and registration docs are issued to the first 500 applicants each year. They are issued first come - first serve and if accepted, your vehicle registration is dated 1960. You'll never again need to get smogged to re-register.
Good luck. -Tom W