As another SoCal native with a 1FZ Troopy, its a no-go from all the conversations I've had with the officials. Issues are a plenty since the 1FZ-F was never sold in the US and thus there is not any version of a smog-legal 1FZ-F, even if you add parts. We fall squarely into the grey market import world, and stuff like the short vin will throw red flags.
Now, there is a really easy solve, you just take your car to one of the two labs, pay $10k+, wait a couple months and voila you get a fancy sticker that shows you're good to go.... Of course thats no fun cause those $$ can be spent on other sweet parts. The system is definitely made for the rich folks who want to bring in their odd exotics and its obvious when you go by the shop and see all the wild high dollar cars in the parking lot.
I will add, there are lots of threads that you can read stories of people sneaking through with a distracted DMV agent and thinking its easy, and you'll also find people who get sad letters from CARB a few months after they thought they beat the system. So YMMV but from my research and actually spending a bit of time reading the law, you're options are out of state, or get it modded and certed by the lab. Would love to be wrong but this is why my truck is registered in AZ.