In practice, many societies seem to strive for some kind of healthy middle ground, whereby the worst aspects of both are limited. There is usually some kind of framework to include things that don't "fit" the market model. For example: prisons, a public healthcare system, a road code, an education system, and so on. Some may argue that if societies simply enforce a "user pays" policy to everything, it'll be fine. But in many cases that attitude is demonstrably wrong. For example, a mentally ill criminal with no family or friends is stuck in an institution to protect all the die-hard capitalists on the outside. Who pays?
Your friendly torte insurance company. The problem isn't that society needs prisons and government goons to bash down your door and force you to pay for them. The problem is that prisons, as a "rehabilitation program", teach offenders to become career criminals rather than just petty offenders.
People go to prison out of a background of child abuse, and are then subjected to further abuse in prison, reinforcing the lesson that violence and dishonesty are the solution to their problems. Sure, there are problems where externalities aren't easily avoidable, but the solution is
never to get a big group of assholes with guns and have them tell everyone what to do and steal money from everyone on an ongoing basis to pay for said activities.
The solution to keeping child molesters away from your children is
not to administer TSA agents to molest your children legally at the airport, mall, school and so on.
Does wikipedia require a totalitarian tax collection agency to operate?