In general I think as a majority-minority state, applying a primarily UK-focused take on California misses a lot. The largest group in CA is Hispanic-Latino (40% of the population), and that's a group with neither Puritanical nor Scots-Irish background ideology. And 15% of the state is Asian-American... A very small percentage of CA descends from either Puritans/WASPs or Scots-Irish!
An underrated aspect of California, I suspect, is that California's "political class" is not all that representative of the state at large. For example, I seem to recall that Prop 16 was endorsed by numerous major figures, and opposed by none, yet it lost by a large margin in the general election.
If you look at the Latinos and Asians who are politically involved in California, I would predict that they are far from typical, and they're much more likely to be assimilated into the state's progressive political traditions.
My read of Albion’s Seed and American Nations is that they’re more about how a regional culture was germinated and founded, under the idea that the culture (including legal and economic systems) is even more durable than a specific group. So it’s not exactly connected to current demographics.