Hamilton didn't believe that. In fact, he argued against it in Federalist 29:
"The project of disciplining all the militia of the United States is as futile as it would be injurious, if it were capable of being carried into execution."
"But though the scheme of disciplining the whole nation must be abandoned as mischievous or impracticable; yet it is a matter of the utmost importance that a well-digested plan should, as soon as possible, be adopted for the proper establishment of the militia. The attention of the government ought particularly to be directed to the formation of a select corps of moderate extent ..."
Which is why the second amendment says that a well regulated Militia is necessary to the security of a free State, not that a well armed citizenry is necessary to the security of a free State.
"The idea behind a citizens militia was that every able-bodied adult male in the country was a part of it."
In 1788, the idea behind a citizens militia was that every able-bodied adult white male citizen in the country was a part of it. Which was less than 20% of the population at the time.
Not even close to "everyone".
And that's just his point #1. Posting the link large and blue doesn't make it right.
"Another source of power in government is a military force. But this, to be efficient, must be superior to any force that exists among the people, or which they can command; for otherwise this force would be annihilated, on the first exercise of acts of oppression. Before a standing army can rule, the people must be disarmed; as they are in almost every kingdom in Europe. The supreme power in America cannot enforce unjust laws by the sword; because the whole body of the people are armed, and constitute a force superior to any band of regular troops that can be, on any pretense, raised in the United States. A military force, at the command of Congress, can execute no laws, but such as the people perceive to be just and constitutional; for they will possess the power, and jealousy will instantly inspire the inclination, to resist the execution of a law which appears to them unjust and oppressive." - Noah Webster, An Examination of The Leading Principles of the Federal Constitution, Philadelphia, 1787
Not to mention the minorities that fought in the War for Independence. African Americans in the Revolutionary War...
Or are you a racist now, as well as a gun grabber, and will deny freedmen blacks their rightful place in history?