Upvote:3
You can board a flight in Mexico with just your California ID but you will also need a Mexican Tourist Card (FMM). You can obtain one at the airport by filling out the necessary paperwork or doing it online. The cost is $500 pesos or $24USD. I highly recommend checking https://www.gob.mx/en/index.
Please note you will need to at least know or have access to your passport number to fill out the form for the FMM.