While I think it is possible to practice markets in the absence of a state, capitalism and the state are inseparable.
I also don’t think our nation’s founding fits your definition of a free market either, unless slavery and reliance on tariffs are your idea of a free market.
What the hell is a “corporatist socialist market”? I don’t think there is such thing as a socialist corporation, unless it is nationalized and owned by the state. I don’t know if I can help you if you consider the U.S. to be socialist. I can say I am a socialist, and the U.S. is far from it.