As an expat from a European country myself, I like the US health care system a LOT better. First of all, I'm no longer paying 50% of our income to health care and then still have to pay into private health insurance just to get additional coverage. Yes, we still pay for health insurance after the government 'pays for it'
But when I came here, my personal healthcare improved so much. Before, I had to go to a hospital and wait for hours just to see a specialist, here I got a grown in toenail surgery for less than $1000 without any wait time and no insurance.
Compared to Europe, insurance is dirt cheap, once you take the actual cost of care from your taxes into account, Europe is paying at least half as much in personal health insurance. Look at this graph: https://graphics8.nytimes.com/images/2011/06/07/business/07economist-bartlett2rev2/07economist-bartlett2rev2-blog480.jpg
Dentists are amazing too, ever wonder why in the UK (and the rest of Europe) dental care is so bad? We see dentists once every 2 years and cleanings are considered 'cosmetic' and cost extra unless you have a private insurance.
But you don't have to believe me, look at outcome statistics, the US has the lowest mortality numbers for major diseases like cancer by like 4x, maternal mortality is the lowest by orders of magnitude and
Some examples from my own life:
When I was a child, I had to go from the school to a hospital, the janitor had to drive me to the hospital in a bus while I was heavily bleeding because the ambulance didn't deem someone who could still walk as a case for the ambulance to handle.
I know several people that had to appear in front of government panels to have their health care options decided, an appointment with those panels can take upwards of 9-18 months AFTER your primary care doctor decides to pass you on for some major surgery or disability. You can't get unemployment because you're "too sick" for one government doctor but can't go on disability because you're "not sick enough" according to another government doctor, if you are forced to work, you automatically lose both benefits and your disability case. Death panels are a necessary thing in socialist healthcare countries.
My brother, as a child, went to the emergency department for pediatric care with a compression injury (blood flow cut off, skin turning colors and at risk for necrosis). He was turned away from one hospital after 4 hours wait because after my parents discussed with the doctors (we were still JW's) about the blood transfusion issue, the hospital administration simply told us they didn't have sufficient funding for a no-blood surgery (which at that point, the government demanded hospitals follow all religious objections, regardless of the cost), and then we'd have to drive ourselves to another private hospital which took 2 more hours to see a doctor.