What OUR Democracy is not: a system where all people are treated equally in every way; equal pay, equal health care, equal living quarters, equal diet rations, equal entertainment and much more. These things can sound very good if you do not examine them thoroughly. For example, the current "Health Care Reform" is aimed at providing everyone, literally everyone, with the "option" of a government run Health Care Plan. The truth? It will be cheaper, and easier to afford for everyone, the problem, YOU GET WHAT YOU PAY FOR. With that plan, the US Government will have a "monopoly" on Health Care and private Health Care companies will die out in time, then the government option, will be the only option, and when that happens, they get to (And in other societies this has proven to be the case) determine your coverage and which medications you take, and they get to make all your medical decisions for you, Because they know what is best for you.
But that is not Freedom, and while America is a democratic nation, it is also a Republic, as stated by another answer to this question. No, we are not treated equal in some ways, but if I WANT better pay, I have the freedom to find a better job, get a better education as to be better qualified, and so on. IF by some chance I come up with an idea nobody has thought of, I get rich as a result. In that OTHER society, where everyone is treated equally, I get almost zero benefit from being creative and contributing to society, instead the government takes my idea and profits from it almost exclusively. I might get a $100 bonus that month. An "A for effort". I'd rather get rich!