If you read the actual text of this bill, you'll see that it's grossly exaggerated and I have a very hard time imagining that it would have ANY impact on reefers. The bill is written to:
"To prevent the introduction and establishment of nonnative wildlife species that negatively impact the economy, environment, or other animal species’ or human health, and for other purposes."
Certain species, like Caulerpa, should be banned and continue to be so. Other species, like lionfish, should probably be considered for being banned. But this isn't a "blanket ban"; every species on the banned list must be individually considered- will it, if allowed, have a potential to establish itself in the local environment, will it cause negative impacts to the economy, etc.? I think we're pretty safe here in California.