Those statistics on paper are called evidence, and it is the only way to compare healthcare systems. And your problem is you don't trust any of it and so are making claims that are just false based on all the available evidence. Just for example, you claimed that in Europe they can rarely see the doctor but nearly all of Europe has more doctors per capita than the U.S. We are at 2.5 per thousand - France has over one third more doctors at 3.4 per thousand, Germany 3.8, Sweden 3.9. Canada does have a comparative shortage at 2.1.
The same is true for wait times - short answer is it depends. We have more specialists and fewer primary care, so the waits are shorter for the former but longer for the latter. It's a mixed bag. It's probably true if you have cancer, you'd rather be treated in the U.S. but our results aren't great, and if you have chronic illness, most of Europe does a better job than the U.S. So like most other things that depends as well.
It's seems fair to say that the U.S. gets roughly equivalent outcomes to the rest of the industrialized world as a whole, but at roughly twice the cost on average. Beyond that it's just impossible to make an evidence based argument that our system (without regard to cost) is obviously superior. In the U.S. it IS very good, but many other countries also have excellent healthcare systems, and yes, they get equivalent or better outcomes in many cases on all the benchmarks that matter.