Yes in a perfect world, but again we are dealing with a very imperfect global environment. How would the market deal with countries keeping there currency low i.e. china, giving them an unfair trade advantage. Massive shifts in the market because of unforeseen global problems i.e. Europe debt, and who would want to invest in a market where there are no protective barriers.
A central banking system is essential in today WORLD economy for a country to survive and remain prosperous.
The free market is only a pipe dream, for a system to work properly you have to have protective mechanism to deal with unforeseen situations. If we got rid of our fed today, we would be handing our economy over from american bankers to foreign bankers, i.e. China. Who can manipulate their currency to screw us.