I do not think 'free market capitalism', as you refer to it, failed. What did occured was a situation where a lot of very smart people took advantage of U.S. government relaxation of debt ratios and forgot to do a proper risk management profile. This led to a leverage-driven bubble that increased prices of things like real estate and commodities way beyond their proper value. When the cerditors wanted out, the big institutional investors were forced to sell short (driving down the market) to cover their debts. Add to that an insurance giant like AIG, which insured many institutional investors against losses, to have to come up with cash it did not have on hand and you can see how the domino effect rippled throughout the economy.
Essentially, we experienced a 'run on the bank'. Because so many people panicked and wanted out now, none of our stellar brokerages, banks, insurance companies, etc. could come up with that much cash on such short notice and eventually went bankrupt, were bought out by another firm or bailed out. The recent crumbling of our financial systems does highlight our affection with greed and a total disregard of risk management.
Now, to the rest of the world...no one held a gun to their heads and forced them to buy anything toxic created in the U.S. Problems in the EU, Asia and BRIC countries are also a problem they created. While the adage that 'when the US sneezes the world gets a cold' is still true in many regards, the global problem is worldwide greed.
That brings us around to your further question about the merits of a more controlled economy. Well, the EU is a perfect example of that. Less than stellar growth, more regulation, relatively high taxation of member nations leads to boring growth. I would rather have a situation where the US maintains a fluid system that lowers tax rates, encourages risk-taking, and creates new opportunities.