That's actually a perfect example of a revolution resulting in a system that looks a lot like the previous system.
Mostly self-governing colonies with Parliament exercising some limited control over them turn into mostly self-governing states with a Federal government exercising some limited control over them.
Pretty much the only things that changed short-term were foreign policy and what kinds of imported goods were taxed.
The American Revolution was won by leveraging Iroquois-style confederacy [1] as effective propaganda [2], and by employing guerilla warfare tactics learned fighting the Algonquin. This enabled securing enough victory (i.e. Saratoga) to get the French involved as the focus shifted to the Southern theater.
It was the first successful war of independence [3], lead to establishing the modern elected head of state, outlawed explicit nobility, and inspired fanatical devotion to an earthly cause.
For the previous hundred years, Jacobite rebellions in Europe had been crushed, seemingly due mainly to tactical failure (e.g. Culloden, the last pitched battle in Britain).
But then, a few years after the American Revolution, the French: guerilla warfare, beheaded head of state, banished nobility, fanatical devotion to an earthly cause.
(Interestingly, the French Revolution occurred right around the time they hit 50% literacy [4], increasing the viability of written propaganda.)
Then Haiti launched the second successful independence war in 1791, kicking off centuries of decolonization.
The American Revolution was a break from history.
We haven't cycled back to pitched battles, if anything guerilla warfare is still under active development and experiencing significant growth. Propaganda, as an instrument of war, is only becoming more important. And colonial aggressors continue to lose when on someone else's home field.
Mostly self-governing colonies with Parliament exercising some limited control over them turn into mostly self-governing states with a Federal government exercising some limited control over them.
Pretty much the only things that changed short-term were foreign policy and what kinds of imported goods were taxed.