If you base your argument around one part of a whole set of changes, then it's going to be imbalanced. Well spotted.
Ok, I was tired and that was lazy. But seriously, wealthy individuals and large corporations pay the majority of tax. So straight off the bat, any of the proposals previously mentioned that "reduce the size of govt", "end inefficiency" or "get rid of middle-men" will primarily benefit the wealthy. Regarding your other points:
the alternative is that no-one is allowed to possess more money than anyone else
No. This is the main thing that confuses me about hardline communists and anarchists alike - it's not a choice between complete state-enforced equality of outcome and the law of the jungle. There is a vast middle ground wherein lies a system of government that minimises suffering, maximises opportunity, and still allows people to enjoy the fruits of their own labour and ingenuity.
... it's a case of removing the rules that create excessive barriers to everybody ... The amount of rules applying to all types of businesses are over-zealous
I would argue that small businesses are better off with strong government than they would be otherwise. Admittedly I can't speak for the US, but in my country the government supports small businesses and does a great deal to protect them from the anti-competitive practices of large corporations. The government provides low-interest loans only available to small businesses, provides mentors, financial advisers and tax assistance for young entrepreneurs, and regulates take-overs and mergers to prevent monopoly building. In my eyes, this is a far freer market than there would be without government - freedom for the wolves means death for the lambs, and old lions kill the offspring of rivals before they are grown.
Educate people in a way that sparks their imagination and develops their reasoning skills. Learning factual information is pretty boring without allowing people the chance to use the facts in different contexts. And that's how kids at school learn today, for the overwhelming amount of time (no wonder so many dislike it).
I agree with you here, if I understand what you're saying. Education must be the single biggest priority of our time, and it is the key to ending poverty and empowering people. It is also incredibly difficult, and if you think that good teachers don't already want to "spark imagination and develop reasoning skills", then you're doing them a disservice. Truly, the biggest barrier to universal high-quality education is money. In my country state-school teachers are poorly paid and little thanked, which puts off the best minds from entering the profession. Those heroes who do it anyway struggle without resources in run-down buildings, with far too many children per teacher. The best teachers are skimmed off by private schools who often pay more than double what the state will, but of course cater only to those whose parents can afford it. The state should double, or triple, their spending on schools until the finest graduates of top universities are fighting to become teachers in the same way they fight to become doctors or lawyers, and until the poorest child in the country can receive a better education at a state school than the child of a baronet can at Eton College. Good luck doing it without tax.