A class action against the State of California seems wildly far-fetched.
I'm not a lawyer, but it seems to me a more reasonable class action suit would be against counties like Los Angeles County which charge a $10 non-refundable fee to process your CCW application. Since it seems virtually impossible to get a CCW in Los Angeles County, an argument could be made that LA County is defrauding applicants of their $10 fee, with no intention of actually issuing a CCW.
What would be the end result of this? Everyone gets $10 back, minus legal fees, which means you probably net about $3-4/person. Maybe you force the county to process and deny CCWs without charging a fee. I don't know if you could hope to impact their policy though.
But like I said, I'm not a lawyer, but I doubt the above has much merit.