Isn’t this exactly how the United States and every other country works?
Secondly, even if the US as a country is tighter integrated and more financially successful than the EU as a union, the US is not a successful model example of a well functioning society that people in the EU would aspire to emulate, on the contrary, they'd rather preserve the status quo than turning into something resembling what the US has become.
But something tells me that's not what Europeans generally want...
EU citizens understood and recognize that economic supremacy of some private sector industries is pointless if the gains all go to the hands of a few tax dodging trillionaires with sex trafficking private islands, while the externalities get outsourced to the environment and the public sector to deal with leading to increased wealth inequality, homelessness, crime, drug addiction, etc
That's why they want to see policies that will first address the environment and quality of life, before shareholder returns, even if that makes them less economically dominant.
EU people don't want to live in a world of fent zombies on the streets, cars with smashed windows from petty crime, food deserts, homeless people, all in the name of economic superiority.
It has zero to do with communism.
Do you see the perfectly exemplified contradiction here? Centralized government power always tends to want more and more control, more and more power over time, while shedding any and all forms accountability. It never stops and says "ok, we have just the right amount of control now, we can start back off and leave everyone be". That never happened in history of humanity.
The evolution of the US central government you gave is the perfect example of this overreach that grew with time and the best argument why we shouldn't try to emulate that. Because so is the EU compared to how it was 30 years ago, and it will just keep growing and swallowing more control and influence over its members, with less and less accountability, and it won't just stop when you think the right balance has been achieved. It will only stop when IT decides it wants to, but by that point it will be too late for you to have a choice in this.
Plus, even ignoring all that, what worked in the US 200-300 years ago, can't simply be applied to Europe now. You can't simply copy-paste policies across continents, cultures and time, and imagine it will simply Just-Work™.
EU is not a country. It's a political and economic union. And I think it can't become a country since peoples of member states desire to keep a degree of national sovereignty.