In America you have the worst of all possible worlds: extremely high prices for service that isn't any better, and is a royal PITA to access because you have to navigate insurers, doctors, and fifty bajillion billing codes in between.
You keep saying this, and I'm not sure it's as universally true as single payer fan-boys would like it to be.
Take my family: According to
this site Aussies spend $4319 USD per person, per year on healthcare split between gov funding, personal payments (co pays) and insurance. So a family of two (like mine) is $8638 USD/ year into health care.
We pay $230/ pay period for our insurance ($5980 USD/year) and My wife and I average about $250 in co-pays/year. (mostly dental) So we're $6230/year for the family. Cheaper than the hypothetical Aussie family.
I know there are billing inefficiencies, coding specialists and the like, but I never see them. I call, get an appointment, walk in, see the doc, give them $20 or $30 and walk out. I get great service from my docs, and if I didn't, I'd go find another. Obviously surgeons are more the luck of the draw for emergent issues, but for planned ones I shop around and ask who does good work. I have, once in the last decade, found a doc that I wanted to see that my insurance didn't have a deal with. So that can happen, but for the most part I have a lot of freedom to pick who I see for health care, and how they treat me.
Sure there are folks in the US that get just huge bills, or end up bankrupt from treatments, and their are crappier plans then mine that don't give people the choices I get, and there are huge inefficiencies in our current system. But there are MILLIONS of Americans who, like me, pay a small fee and just go to the doctor when they want, and get good, professional treatment. So when media and fan boys through out cases from the extreme of the bell curve in America and use it to try and tear down the whole system, folks like me start to get nervous. Because we were told we could keep our doc's if we liked them before, and it wasn't all roses.
You should realize, that for all it's inefficiencies, and the cases on the fringe that we 100% should work on, for the VAST majority of Americans don't live in some sort of constant anxiety about healthcare. Most of us just buy insurance, and go see a doctor whenever we want. It's not a royal PITA.