Remember how this came about though, the government of the time had to "step in" and end the use of land as a commons and bring about its privatisation. This sounds like market intervention, doesn't it? We don't look at it that way though, as it was the government intervention that kicked off the whole machine of capitalism. The wealthy at the time were mostly in favour of it and so it had a lot of support.
So what is a free market? In order to have a market at all, you need a government which defends the property "rights" (a purely ideological/philosophical assertion by Locke and co.) of private owners of the stuff and things that we use to produce in this world. We use air to produce things too, as well as land. Just as land must be used to accept the refuse of our production and consumption (rubbish dumps, landfills), the air does too. We charge people to put stuff in landfills, so why don't we charge people to put stuff in the air? This carbon tax is effectively a way of "uncommonsing" the air, just as the land was in the 18th century. This proposed intervention is less popular among the wealthy, of course, as it is not a form of privatisation that they can easily profit from. Ultimately, if it comes to it, they will surely be passing the cost of this privatisation to the workers and consumers in the end anyway.
Say you run a delivery business, and your bike messengers can save a lot of time (netting you a higher profit) cutting across your neighbor's property. It's a free market when you can freely transact with your neighbor for an easement over his property; it's not a free market when the government fails to stop you from trespassing on his property without his permission.
Externalized costs from pollution aren't any different. Like trespassing, pollution burdens other peoples' property. Letting people pollute unchecked undermines the free market.