In a world with unlimited resources, we wouldn't need to worry about things like Capitalism or Communism because there would be no need to distribute anything.
You're only a die-hard capitalist if you also hate all government benefits and taxation, by the way. There's a difference between Communism and Socialism, in that Communism is a system of government, and Socialism is an economic system. There are no countries (except for North Korea) which are entirely geared on one side of this scale. Cuba isn't pure Socialist because some people get paid tips by the tourists and therefore the government doesn't have control of their resource flow. The United States gives out social security benefits and the like, and they do this by taxing people, so they're not fully Capitalist. The United States is one of the most Capitalism-leaning countries in the West, though. Most of the Western European nations and Canada lean more towards Socialism and Social Democracy.
You're right that Freedom and Equality are considered a trade-off. You have to understand what you get out of the 'freedom', though. I'd rather lose my freedom to start a business than be subjected to hard labour 12 hours a day, for instance. It might also be preferable to be able to get a job if I have no legs, even if I lose the freedom to reject employees from my white collar employment opportunity on that account. These are the sorts of freedoms you trade. You don't lose your freedom to marry who you like just for being equal, after all.