SB 968 passed the California Senate on June 1. It is now in the state Assembly and has had a first reading.
There were a few text changes but not those requested by Mothers for Peace. Interestingly, a provision for public hearings has been eliminated from the bill.
Information on bill history : http://leginfo.legislature.ca.gov/faces/billHistoryClient.xhtml?bill_id=201520160SB968