The right way to compare it is how much it is spend in health care per person, no matter were the money comes from. If it is cheaper to pay taxes and get the health care via the government, so be it. If not, so be it too. Let's see:
If your numbers are correct, then $160 billion/ 33 million = 4800 /year/person
We have health care plan through my husband's insurance, we pay 448 but his employer pays 700. this is for the 3 of us. We have copays of $30 for doctors visits (preventive once a year is $15), $100 for emergency room, $100 for MRIs, $700 for hospital admission. So lets assume 1 doctor visit, plus preventive, and one emergency room visit.
((448+700)x12+30x3+15x3+100)/3=4670/year/person - we are healthy our max copays/ person is $1000 so it could go up to $5500/person/year with one hospital admission and a few procedures.
If you consider variables, it is about the same in total cost /year. The difference in this math is that I am using the best case scenario for the US. I doubt that anyone can get this deal without the employer group. Plus, you have to consider that insurance companies cover the cost for people who are younger and not yet eligible for medicare. To truly evaluate the costs we would have to weight medicare spending to the equation and I expect that costs to treat older folks are way higher. While for the same cost/person of the best case scenario, EVERYONE is covered in CANADA.