You cannot separate capitalism from a free market, because if markets are truly free, then people are free to build companies and invest capital to improve products and have ownership over those resources and all the rest.
But I think you’re excluding a huge middle. Capitalism as it is practiced today in America is a ‘third way’ system, in which the largest corporations are in bed with government and have laws passed to protect them. Government regulations protect industries, subsidize industries, and in general distort the marketplace in ways that favor the powerful and politically connected.
A good example of this is General Electric’s current behavior. General Electric makes trains, so it lobbies hard for new high-speed rail and train upgrades. The government pays them off by creating multi-billion dollar train projects which just happen to fit GE’s business model. GE is lobbying hard for cap and trade, because GE makes wind turbines and nuclear power plants, and because GE makes industrial equipment that factories would have to buy to upgrade their emissions.
Now, you may agree with Immelt on the need for trains and cap and trade. But the fact is, he and his corporation have clout to influence policy in ways that benefit them and hurt their competitors. British Petroleum did the same thing with regard to safety inspections of its oil rigs. Other companies lobby for things you don’t like.
This form of ‘capitalism’ is generally opposed by Libertarians. A market isn’t free when some players have better access to the referees than do others.
So right off the bat, you’ll get almost universal agreement from libertarians that this form of crony capitalism should be done away with. Unfortunately, you won’t find that agreement from the traditional left or right, because both sides seem to believe in this form of crony capitalism - so long as the deal-making being done fits within their own political beliefs. One man’s crony capitalism is another’s ‘partnership’.
But you need capitalists. You need the ability for people to pool their capital together to build factories and do research and development. To do that, you need limited-liability corporations so that responsibility can be delegated. And if you have capital investment, you need to have capital return. To keep money moving, you need to be able to issue stock. To do that, you need brokers and analysts. And so it goes. The modern capitalist economy has evolved and created the intermediaries it has for good reason. Mucking with it is like deciding to remove a species from an ecosystem because you don’t like it. Chances are, it really needed to be there, or it wouldn’t exist.