That would be an extremely distorted definition of free markets, I'm afraid.
The mortgage interest deduction is government intervention in the housing market in every sense of the meaning, and it drives the cost of houses up. It also forces others to pay higher income taxes to pay for it.
The employer sponsored health insurance tax free benefit is government intervention in the healthcare market in every sense of the meaning, and it drives the cost of healthcare up. It also forces others to pay higher income taxes to pay for it.
These should be driving any right-minded Libertarian as insane as they get over the Federal Reserve.
the mortgage interest deduction is in the tax code to incentivize home ownership, why do you think home ownership is a bad thing? Would you prefer a system where everyone rents from the government?
Why to give incentives for anything? If you can't afford the house, don't buy it.
Why should government spend my tax dollars on incentive for, let's say "high efficiency furnace"? People should know if they run old furnace they would spend more on heat. If that's not incentive good enough, what it is?
Government should stay out of all of it.