I work in the health care system in Canada, and I work next to a nurse who is a US expat. She has long experience in both systems, and she has no doubt whatsoever about which system she'd prefer to be under herself: the Canadian system, by a mile.
One of my jobs is to book MRI's, CT scans, and other tests for patients. There are protocols in place for scheduling these tests. A team of physicians reviews all requisitions and decides priorities. Someone who needs an MRI today gets it today, at no charge. Someone less urgent may wait a few weeks or months if they want it for free. Someone who needs it on a much less urgent basis can wait 3 to 6 months, roughly. In all instances there is no charge. And, as in the US, if you've got the money, you can buy the scan privately, or fly to some US institution if that is what you'd like.
I'm talking about how things work normally. In 6 years on the job, I've never experienced any case that hasn't worked that way.
One poster here remarked that he's never heard of someone coming to Canada for superior medical treatment, I would attribute that to the fact that relatively few Americans have an interest in knowing much about what's going on outside America in any area, medicine included. Fewer still care to hear about pursuits in which someone else performs better than America. They do not hear about this kind of thing in the US media. But FYI, Canada is a world leader in applied neuroscience (e.g. brain and nervous system injury and disease), and on the treatment of diabetes.
I have American friends who occasionally report symptoms that would have me at the doctor's office or emergency room immediately, but they put off the visit, waiting to see if it gets worse before they risk blowing the money for a visit! Frankly, that's unthinkable in Canada. Money is never, ever a factor.
In summary, I think the medical systems in both countries reflect the values of both countries. Health care, even the most complex surgeries and long-term in-patient care, is covered by taxes paid by all Canadians; some pull more than their equal share of the weight, and some pull less. The social safety net, the civil society, is more highly valued. In the US, it is the "American Dream" that is more highly valued - the opportunity for the advancement of the individual. Many are left out. The social safety net, the civil society, is less highly valued than the individual's pursuit of success.