Why do I think free markets and private property is "every man for himself"?

1) Human nature. Most people can't see past their own nose. In fact some people have such a massive problem finding empathy for other people that they act, for one example, racist and intolerant to other people. To put it simply, I think human kind has demonstrated how selfish and cruel it can be when left unrestrained. To have an entirely free market and everything private owned would be to let free and even propel all of the nasty things inside people. Just as without laws we will have (more) people hurting each other in society, so too do we need to regulate how people economically interact with each other

2) Capitalism has nothing to do with morality. Let me give you this hypothetical example: a company can either make $10 a lolly selling type A or it can make $1 selling type B. The 'problem' is that type A is known by the company (but not the public) to be poisonous. This poison will hurt the people taking it but will not hurt the companies profits- as in they won't die too soon or stop buying it for any reason. The only harmful effect is felt by the customer and not the company. Thinking purely from a capitalist point of view, with no other concepts available (such as morality, etc), what should the company do? Sell the poison of course because it's more profitable. In fact most logical and profitable decisions by the nature of the universe are dubious like this. There are even weird situations in the world where someone may be the head of a company- but think it's 'evil'. They may think the company does horrible things and hurts the world, but they themselves are 'just doing their job'. In their mind they tell themselves they wouldn't personally do such things but also acknowledge that it's how the business runs at it's most profitable and successful level. As bad as people are, some companies are even worse than those who lead them because it makes business sense to be horrible while it makes social sense for the individuals to hold their personal selves to different standards.

3) Capitalism isn't a sharing thing, so there is nothing left except 'every man for himself'. If people aren't sharing- what are they doing? Think about this entirely hypothetical scenario: There are a total of 5 houses in the world and there are 5 people. All 5 are owned by 1 person and the other 4 have to pay rent. Since there are no other options for these 4 other than living in 1 of these homes, the owner can charge as much rent as they want- as long as it doesn't exceed what the people can pay. What is the capitalist thing to do? To make a maximum profit. In effect these 4 could end up in a situation where they go to work every day simply to be able to afford to eat enough food and sleep in a house to be alive for the next days work. Capitalism alone has no remedy for this- in fact it would see no need for a remedy at all because it wouldn't see the problem with it. The only way to be not operating from a 'every man for himself' system is to share- but to share would be to not operate capitalism to it's full extent or to actually go against it in some ways.

Do I think capitalism is opposed to cooperation?

To put my answer very simply- yes I do think unrestrained capitalism is opposed to cooperation. There is no immediate and person money to be made by giving some away to another person in a less fortunate position. There is also no money to be gained by a company treating it's workers fairly. To be most successful, a company has to wage war against it's enemies, use it's employees, and prey on it's customers. All of these things are on the opposite end of the spectrum from cooperation.