No, this is a terrible idea. One we've tried twice before, and it failed both times.
The first was the Articles of Confederation, which was our government immediately after the revolution. The Articles of Confederation were kind of like an American EU. It was a nearly immediate failure. The states simply weren't capable of building strong economies and militaries on their own.
The second time was the Confederate States of America. The original secession was peaceful-ish. The Confederacy was doomed from the start, for a long list of reasons. The Union could have survived without the south economically, but there are a lot of alternate history what-if scenarios about timelines in which the South wins the civil war, and all of them agree that the divided USA and CSA would have been much weaker than the United States ended up becoming post-Civil War.
On top of that... balkanization is not a good thing. The very word is named for a series of geopolitical conflicts that eventually resulted in WW1. Balkanization generally does not result in strong, peaceful states with a higher standard living. The very idea of "peaceful" balkanization is silly. Groups of people who dislike each other so much that they can't stand to be under shared governance generally don't become friendly, cooperative neighbors once they have separate government.
Just to give one potential problem: which American micro-country gets the Hoover Dam? California really needs it, since they consume the largest share of the energy it produces, but it's not in California. Maybe Nevada would throw in with California, but the dam is on the border with Arizona. Does Arizona choose to throw in with California, too? More importantly, what if they don't? A "peaceful" balkanization could become very unpeaceful very quickly.
I imagine everybody who voted yes is probably from a blue state imagining a world where the red states are left to their own devices. If they want to destroy their own societies and devolve into fascism, by all means, but it's not your problem anymore. Right? Yeah, except that now you have a hostile and covetous fascist state on your border. Famously, not a desirable situation to be in.
And that brings us to the worst potential complication of this... who gets the US military? I'm not talking about the people - they probably go with their state of origin. Who gets the planes? Who gets the ships? Who gets the nuclear arsenal????
I want you guys to imagine, for a moment, a world where Florida is an independent country with a nuclear-capable navy. Does that seem like a better world to you?