I believe the reason that we have as many social services programs as we do is because this country has learned that helping out the poorest of our citizens significantly raises the productivity, happiness, and health of the country as a whole. Public health programs that keep those below the poverty line vaccinated prevent outbreaks of dangerous diseases. Unemployment insurance helps those who have lost their jobs get back on their feet before they become homeless and less likely to become employed, or desperate enough to commit crimes. Reduced-price meals for poor students ensure that they are focused on their studies rather than on trying to feed themselves, and therefore more likely to get the most benefit out of their education. The entire idea behind healthcare reform is the idea that if we work to insure every citizen, it will benefit all of us in the end by keeping us healthier, and hopefully driving down costs as a result.
I don't like my money being taken by force either, but to think that the free market would provide any meaningful wealth distribution without being directly forced to is just naive.