"To understand anything, start by asking: What is its essential nature?"
A society is essentially a cooperative endeavor aimed at improving the quality of life for all cooperative citizens.
Cooperation makes specialization possible. Specialists can do everything better. Thus, a society offers individuals a higher quality of life than they could achieve if they were on their own in the wild.
Citizens are expected to cooperate by trading in their absolute right to do anything they please for the benefits offered by the cooperative effort.
The inevitable conflicts between an individual citizen's rights and the welfare of others in their society must always be decided in favor the group. Citizens can play their music as loud as they like, provided it doesn't annoy the neighbors. Citizens should not have an absolute right to own a military-grade weapon.
Overall, I agree with your position that the needs of the many outweigh the needs of the few. A collective can still survive with the loss of a few individuals, but the individuals can never survive without the collective.
But we don't really have much of a collective in the United States, not in any real sense. As a nation, our primary focus has been on individual rights and individual freedom. Of course, this never meant the absolute right to do whatever one pleases, but it hasn't really been "liberty and justice for all" either.
I think part of the problem is not so much a misunderstanding of an individual's responsibilities to a larger society. As you say, citizens are expected to cooperate, and for the vast majority of the citizenry, they do so willingly and in good faith that their fellow citizens will reciprocate.
I think a large part of the problem is that we have a collective society which has been founded by and continues to operate according to various political principles which are often expressed as trite sayings and political slogans - used in songs and become part of the overall patriotic dogma which Americans are born and raised with and conditioned to believe.
What you appear to be saying, in a nutshell, is that "freedom" (for lack of a better word) is impractical and not a very effective way to run a society. I would tend to agree with that central idea, in principle. My only real complaint in this context is that we continue to lie to ourselves and everyone else that "America is a free country." That's never been true. Because it is impractical. But if it's not practical, then why do we say it? Is it just some sort of slogan that makes people feel good, yet has no real substantial meaning?