According to what I found with a little searching there was $84 billion in corn subsidies and $12 billion in direct payments to farmers from 1995-2012. That doesn't include other subsides such as cotton.
One farmer that I had found had received $3.6 million is government subsidies from 1995-2012
The Free Market may very well be a myth in Australia; I wouldn't know.
But here in the States, with the exception of our health care system, it is alive and well, in spite of those who try to stop it.
I'm suspicious of just how true that statement is. Adam Smith in originally discussing the principles of a free market argued that a market would regulate itself when both the seller and buyer could enter and exit the market with minimum costs and interference. I do not think he could have imagined a market-place where the cost of entry (both financial and in terms of regulation) was as high for the seller as many of the markets today (it's not likely that I can compete with the Briggs and Stratton group by making zero-turn mowers in my garage to sell). I don't mean to advocate for something else but the statement that the US operates in a truly free-market is highly suspect.
Have you not made any free market purchases lately? Have you not bought or sold a good or service from someone off of, say, craigslist, in which you two arrived at a mutually agreed upon price?
What kind of market is that, if not free?
I'm not getting the connection that, because you personally can't open up a business that will be competitive with Briggs and Stratton, that the market is 'rigged.' Nowhere in any economics book will you find a definition of 'Free Market' which insists that any person, no matter how poor, should be able to open a business and compete with all businesses in that field, no matter what size those businesses may be. But there are examples of it happening if you care to look. Southwest Airlines, Apple, Microsoft and Walmart come to mind.
You're right in that government interference is a factor. But the market forces are alive and well and many startups succeed in spite of the government. Government interference rarely affects personal transactions which is where a HUGE portion of the economy takes place.