I've worked in political offices before like these and I can confirm that politicians respond to constituent outreach. Most people don't care enough about most issues enough to call or email their representatives, so if the office gets a flood of communication on one issue it means something. 

If you are a California resident, you should use the contact form the rep provides so you can provide your address (to prove you are a constituent and that they should care about your opinion). 

The chair of the appropriations committee, Rep. Buffy Wicks, represents Berkeley, and thus actually cares about your opinion if you live in Berkeley. If you care about this bill, you should call her office at (916) 319-2014, email her, and use her contact form here: https://a14.asmdc.org/email-assemblymember-wicks

Another Rep. on the appropriations committee that is probably relevant to many people here is Rep. Matt Haney, who represents San Francisco. You can call his office at (916) 319-2017, email him at Assemblymember.haney@assembly.ca.gov or contact him here: https://a17.asmdc.org/contact

If you have friends in these districts who care about this issue, you should tell them to contact their reps as well.

Thanks, guys! The Scott Wiener (who's sponsoring SB 1047) discussion with Sam Harris (along with Yoshua Bengio) gives some good context.

If anyone here also would like more context on this, I found @Garrison's reporting from 16 August quite insightful: 

The Tech Industry is the Biggest Blocker to Meaningful AI Safety Regulations

The Bill has passed the appropriations committee and will now move onto the Assembly floor.  There were some changes made to the Bill. From the press release: 

Removing perjury – Replace criminal penalties for perjury with civil penalties. There are now no criminal penalties in the bill. Opponents had misrepresented this provision, and a civil penalty serves well as a deterrent against lying to the government.

Eliminating the FMD – Remove the proposed new state regulatory body (formerly the Frontier Model Division, or FMD). SB 1047’s enforcement was always done through the AG’s office, and this amendment streamlines the regulatory structure without significantly impacting the ability to hold bad actors accountable. Some of the FMD’s functions have been moved to the existing Government Operations Agency.

Adjusting legal standards - The legal standard under which developers must attest they have fulfilled their commitments under the bill has changed from “reasonable assurance” standard to a standard of “reasonable care,” which is defined under centuries of common law as the care a reasonable person would have taken. We lay out a few elements of reasonable care in AI development, including whether they consulted NIST standards in establishing their safety plans, and how their safety plan compares to other companies in the industry.

New threshold to protect startups’ ability to fine-tune open sourced models – Established a threshold to determine which fine-tuned models are covered under SB 1047. Only models that were fine-tuned at a cost of at least $10 million are now covered. If a model is fine-tuned at a cost of less than $10 million dollars, the model is not covered and the developer doing the fine tuning has no obligations under the bill. The overwhelming majority of developers fine-tuning open sourced models will not be covered and therefore will have no obligations under the bill.

Narrowing, but not eliminating, pre-harm enforcement – Cutting the AG’s ability to seek civil penalties unless a harm has occurred or there is an imminent threat to public safety.