> And yet today the US government (which is clearly an alliance of states)
That's not correct: The "alliance of states" was under the (superseded) Articles of Confederation — the governance failures of which led to the 1787 constitutional convention. In contrast, the very first words of the Constitution state explicitly that "We, the People of the United States" [emphasis added] were joining together to establish a national polity that transcended the states.
> People have used the wording "No state" to imply that the Federal government is not a state
It's far, far more than just a mere implication — it's a foundational assumption. See, for example, the Supremacy Clause of the Constitution. [0]
That's not correct: The "alliance of states" was under the (superseded) Articles of Confederation — the governance failures of which led to the 1787 constitutional convention. In contrast, the very first words of the Constitution state explicitly that "We, the People of the United States" [emphasis added] were joining together to establish a national polity that transcended the states.
> People have used the wording "No state" to imply that the Federal government is not a state
It's far, far more than just a mere implication — it's a foundational assumption. See, for example, the Supremacy Clause of the Constitution. [0]
[0] https://www.law.cornell.edu/wex/supremacy_clause