I doubt it.
For one thing there would still be a shared national defense. Someone bombs Milwaukee we all jump in.
In terms of industry it's even less likely. The sovereign States would be able to cut an enormous amount of red tape and make changes at the speed of the market. For instance, Maine could pass a bill allowing a larger maple syrup exports without having to wait for Alaska to sign off on it.
Taking over the government Russian style would be far more difficult. For starters every sovereign state would free to choose its own government structure, limit the power of their president, and decide how campaign donations are used, if any. Even a sovereign state copied the US system verbatim whoever hacked it would still have a lot less influence than they do with Trump today.
I guess most of it depends on how the separation happens. If it involves a long, bloody civil war where roads, railroads, and factories get bombed then yes, everyone will pounce on the pieces.
On the other hand, if it's a gradual system where states slowly become more autonomous until they reach independence then I see it making the country stronger.