So... why would you want to choose a doctor?
Im in a unique position to answer that question accurately because I lived in both countries.
In the US, American exceptionalism is hammered into you from a young age. For the most part its completely true, America is in many ways the greatest country in the world!
One of these exceptional qualities is freedom, which includes the precept that you have full control over what happens to your body, and by who. You want health insurance? You can go buy it. You don't want health insurance? Don't buy it! (Until Obamacare... thats a different story all together)
The concept of freedom and being the master of your own domain, not subject to a faceless bureaucrat is a core principle in everybody's life.
Here comes the bamboozle now, they have managed to convince a large part of the population that a system that every other developed nation is using, is bad. To prove this, they cherry pick the worst case scenarios and for some reason "not being able to choose your doctor" turned out to be one of them.
I never understood that one because in the decade of living in Toronto before coming to the US, I picked my doctor every time based on proximity.
The irony is that in the states you do not have the same freedom, even though they say you do.
When I got insurance in the states, there is in-network and out-of-network. I can't go pick a random doctor, I need to pick an in-network doctor! So I get a false choice in reality. To be completely fair, in Raleigh where I lived almost all the doctors in my area were in-network, so I never had a problem, but that is not always the case.
I can give you a long run down of the pros and cons of both systems, but the bottom line is, when you zoom out and look at the bigger picture, which country offers better outcomes at what price? The answer to that, Im sorry to say, is Canada.
The American system is not going to be the best for every single American, and likewise the Canadian system is not always going to be the best for every single Canadian, but cherry picking the worst parts of a system in an attempt to blanket its entirety is disingenuous and misleading.