This is still a straw man argument, but since we're having it, would you also argue that the government should implement national defence by drafting a percentage of young people against their will, or by raising money through taxes to pay salaries to those young people to attract them to sign up voluntarily?
I've never been able to decide whether this apparently highly simplistic anti-taxation message which many Americans seem to go for, is indeed highly simplistic, or in fact philosophically brilliant. I guess we'd find out for sure if there was ever a libertarian government. My bet is that it would last about two weeks before people discovered that it's not quite as simple as the message would have us believe, and that it is in fact perfectly legitimate to have some things funded by taxation without the need for the word "Socialist".
Incidentally, France's health care system was enacted under postwar anti-Communist governments, and Germany's by Count Otto von Bismark, a man not known for his tree-hugging tendencies. And in both of those countries, health care is not funded by taxation (the UK model) but by a system of mutual funds with government guarantees (true, participation in them is mandatory, via payroll deduction; if you want to portray this as "under penalty of imprisonment" then knock yourself out).