Wrong.
As held in Presser, participation in a militia is lawful only when that militia is authorized by a state government or the Federal government.
Absent such authorization, a ‘militia’ that engages in lawless armed rebellion against the Federal government is nothing more than a criminal organization of traitors and terrorists.
You're correct in that the people of a State,
acting through their State government, may, at last resort, organize a militia but this organization is meant to
oppose any force imposed by federal usurpers.
So where do you come up with authorization by the Federal government?
Article IV is as close as you can come to anything in relation to federal authority with regard to militias in that all Federal officials, both civil and military, take an oath to support the Constitution (only).
Which means all military officers, thus controlled fundamentally and supremely by the Constitution, must be obedient to the civil authority. While that main authority would be the President, the President's authority is only as good as any orders which are
not violative of the Constitution.
The military are, therefore, obligated by the Constitution not only to refuse to obey any orders of Federal usurpers, automatically made by the Constitution itself null and void from the start, but to support the Constitution only, at all times and under all circumstances, as the sovereign people's fundamental law.
State officials, civil and military, are likewise so required to take an oath to support the Constitution of the United States. Meaning, in part, to resist Federal usurpers by all necessary means. By force in last resort.
Now. Placing Article IV aside, the issue is also covered rather well in the Virginia Declaration of Rights (1776) which made this clear in these words: "
that standing armies in time of peace should be avoided as dangerous to liberty; and that in all cases the military should be under strict subordination to, and governed by, the civil power."
And, of course, I'd referenced previously in the discussion the Federalist, numbers 28 and 46, by Hamilton and Madison, as they had explained in great detail opposition of Federal usurpers by militias acting through their State governments.