I'd agree with you if you were right, but you're wrong.
First of all the efficacy of something from one persons point of view is not the sole determinant of whether or not that "something works". For instance, I could force you into slavery, and take the product of your labor and spend it as I like, while you await my orders.
That might work for me, but presumably it wouldn't work for you. How is a mandated "healthcare" policy where others make your choices for you under threat of harm for disobedience any different than the scenario I described above?
I'll see your Denmark and raise you a Soviet Union. You want another card?