You won't want to register it as a 1965. California cracked down on replica cars that were falsely registered as 1965. Rather, you want to register it under the SB100 process. You go through the hassle once and you won't be required to do any kind of annual smog inspection. Here's a quick overview.
http://home.thegrid.net/~ffr4776/SB100_Registration.pdf You can find a ton more info just by searching this forum for SB100.