[monocasa]

If you read the decision, it actually is the interpretation used by the Supreme Court there. You can actually see this in the next bullet that you cut off

> (b) The prefatory clause comports with the Court's interpretation of the operative clause. The "militia" comprised all males physically capable of acting in concert for the common defense. The Antifederalists feared that the Federal Government would disarm the people in order to disable this citizens' militia, enabling a politicized standing army or a select militia to rule. The response was to deny Congress power to abridge the ancient right of individuals to keep and bear arms, so that the ideal of a citizens' militia would be preserved. Pp. 22–28.

You can also see this clearly in US v. Miller, where sawed off shotguns were allowed to banned only because they had no military use (at the time). The unorganized militia must be allowed to use military weapons, which is why you can still go out and buy all sorts of crazy stuff like miniguns if you have enough money.