Indirect control of the means of production is Fascism, TF. We have significant elements of fascist structure in our government and have done since FDR. We also have capitalistic and socialistic elements.
That would make our government a Progressive mixed government. For myself, I prefer the original mix of democratic, oligarchic and monarchic.
I prefer what you suggest, EXCEPT the monarchic reference.
Surely you are not a defender of Monarchy as a respectable fom of government. This nation was founded in a rebellion to that form of Totalitarianism.
Another name for fascism is “public-private partnership”.