I'm quite late to this conversation, but Kestas, I am very much in favor of reform.
In my experience, and that of most of my friends, the current health insurance system in the US doesn't work very well. It costs too much and there is a profit motive to not pay for care.
I think the market is great for many many things, but I've come to the conclusion that healthcare (or at least insurance) isn't one of them.
DJB and Draugnar have articulated very well why health insurance companies work the way they do, and it makes sense for them to be run the way they are as profit making companies, but to me that's exactly the problem. To run an insurance company well as a business is, I think, in many ways in opposition to the goal of providing good healthcare to the population.
I'd love to switch to a single payer system, (or even an NHS like system, though that'd be pretty hard to set up in the US at this point, not just politically but also in a logistical way) but at least at this point in time, I think the best we can hope for here in the US is to regulate the private insurance companies, and ideally to provide a strong public option to compete with those private insurance companies. I'll take a disinterested government bureaucracy over a private one with a profit-motive to deny me care.
I know people are concerned about the costs and bureaucracy, but the costs are already higher per capita than just about anywhere in the world, and I recall hearing an interview on Fresh Air a year or so ago that pointed out that the bureaucratic costs among all the the various insurance companies were also higher than in almost any other system around the world.
People worry about rationing, but to my eye we already have that. It's just based on income rather. If you're rich and/or have really really good health insurance (which is in turn likely costing you or your company or both a whole lot), you get fast good healthcare. If you aren't in one of those categories, you have to wait, and when you do get healthcare it's second rate at best.