While agreeing that manicurists are probably not as important as cops and firemen there are many professions and economic sectors equally important to our way of life. Consider the U.S. with no professional educators or truckdrivers or miners or store employees. Economically things would be such a shambles that we would indeed be forced to revert to voluntary public security. Are cops more important than the workers involved in maintaining telecommunication and electrical systems? More important than folks who work in meat packing plants? By the way thats pretty damn dangerous work too.
Imagine life without sanitation workers or wastewater treatment engineers. Cholera, anyone?