What the best approximation you can acheive to a free market is depends on exactly what the features of the concrete set of products you are concerned with is, what features of the free market you prioritize approximating, and what technology (both technical and social) is available in the environment you are working in.
Wouldn't that be the most efficient free market? One in which only the most brutal and powerful ideas and companies prevail (with money)?
"Free market" is not synonymous with "anything goes." It's a specific economic (rather than ideological) concept. Most economists believe that certain rules and restrictions are necessary to have any functioning market at all.
The usual economic definition of efficiency would be maximizing utility experienced by market participants, not maximizing production.
Currency-denominated "product" measurements are a common proxy measure for utility, but that's a compromise to the inability to measure utility directly.
That's not really how you keep a market free. A free market requires regulation. Without it, you get a market dominated by monopolies and cartels, rather than open competition.
I don't know how much I agree with that, but your opinion certainly isn't universal.
Of course, with sufficient lack of regulation, it also becomes possible to just shoot people who monopolize stuff.
Libertarians are not a single group of people - and most libertarians agree that government is necessary to ensure the Law is respected - only a fraction of libertarians actually think no government is necessary at all. What most libertarians agree on is that Big Government is a Bad thing, not that it should be completely removed.
A free market is one which is free from government price intervention - subsidies, price floors, price ceilings but also free of monopolies and cartels. In practice, a government may need to step in to break up a monopoly or stop an anti-competitive cartel to maintain a free market.
So when the government itself initiates force in the market, it is not a free market.
There is no such thing as a monopoly without the use of force. You can temporarily have companies that have a very large share of their respective markets, but monopoly is not properly defined as "a very large company."
A cartel is just an opportunity for other people to make money by undercutting the cartel. For instance, if the cartel is maintaining artificially low wages, the competitor can take advantage by paying "normal" wages and getting the best employees. Hence, a cartel is not stable. (Unless it has government force backing it---as all modern successful cartels do.)
But in a free market, contractual agreements would be upheld and enforced by an agreed upon arbiter.
In libertarianism, "free market" means, "I'll shoot you if you try to make me pay taxes!".
The difference is glaring.