"Coercion" is an act of one human imposing his will on another human against that human's consent. There is no such thing as "coercion by systems of desperation". There is no "coercion by hunger", or "coercion by a lion", or "coercion by debt". These concepts make no sense.
With the debt example, for instance, I offer someone a loan, and they are free to accept or not accept the terms. If they do not accept the terms, then they walk away and face no retaliation from me - and that is what makes it a voluntary interaction. If they do accept the terms, then they voluntarily accept the responsibility for fulfilling them, and if they cannot fulfill them, then they have made a mistake and will pay for it.
What humans actually do with all this is up to them to decide. Some will try dirty tricks to lure others into engaging in interactions that, in the long run, hurt them. It takes strength and intelligence to make a good use of freedom; naive fools do not do well in a free system. But if someone has so much compassion for them, then nobody prohibits them from subsidizing their bad choices. The key, again, is that nobody can be coerced into doing so.
"Elections" have nothing to do with freedom, any more than you voting for who Google's CEO is and then having to pay for Google's products whether you like them or not has to do with freedom. "Democracy" is just another form of tyranny - more insidious, perhaps, than an outright absolute monarchy, for monarchs do not pretend to be their subjects' employees. If you cannot walk away and face no retaliation, then you are being coerced.
That is different from a voluntary mutual aid society which you can enter or not enter - or quit once you have entered, without anyone throwing you in jail. Existence of such societies I strongly encourage, and only such societies have any degree of solidarity. There is no solidarity at a gunpoint.
Your interpretation of my wife-beating argument appears false. Beating one's wife is coercive, and, as any act of coercion, it is against my system of values. But it is not against yours, for in your system of values the collective decides what is right and what is not. In your system of values, if the collective has determined that wife-beating is legally acceptable, then it is acceptable and that is it. My system of values does not depend on the current opinion of the mob. It does not blindly cave in to the "democratic majority". If the "democratic majority" elects Hitler, then gassing Jews will not suddenly become acceptable.
You have written a lot, yet missed the essential part of my argument: that there are free/voluntary interactions between humans, and tyrannical/coercive ones. Of course, I have benefited a lot from actions of other humans - everybody has. How does it compromise my argument? In no way. I did not benefit from their actions via coercion; I have never put a gun to Newton's head and forced him to invent classical mechanics. There is no "debt" here. If you feel you have a debt to someone, then feel free to pay it - as for me, my debts are accompanied by something solid such as a signature on an official document, or, at least, a handshake.