Any carbon tax or carbon tax-like policy will be passed on. However, the _absence of a carbon tax_ already causes costs we don't see yet, when in the future, people die as a consequence of climate change.
We're talking about CA here. A single, albeit large, US state. As we see from emissions moving from the west to China, if CA imposes a tax then carbon emissions will just move somewhere else. The absence of a carbon tax in one US state likely has little effect on AGW. I would argue that interfering with market based production location may cause even more emissions as shipping costs may increase.