What if say California were to adopt a (republican) parliamentary system? Like say, where the governor is elected, but he/she is powerless and just appoints a cabinet from the majority party or coalition in the legislature, and dissolves the legislature on the advice of the state's prime minister and calls for new elections? And of course where the legislature would have a maximum amount of time it could serve?
I wonder if that would be constitutional.
Looking at history, it seems that South Carolina had something of a parliamentary system leading up to the civil war, in which the legislature appointed the governor, the cabinet, the judges, the presidential electors, everybody. Still, that was so long ago, I'm not sure the constitutionality would still hold up today.