Either way... I personally don't care much whether it's run by the government or not, but rather that the government does what's necessary to have free/super low cost health care for everyone (On the order of $20 for a doctor's visit). Maybe the government runs it itself; maybe it provides the funding for private organizations to provide the health care.
Know what's awesome? Knowing that I can break my arm and have it taken care of with virtually no out-of-pocket cost.
Tax-wise, I'm totally speculating here because I don't know the ins-and-outs of the American tax system, but here we go.
https://simpletax.ca/calculator
https://www.irscalculators.com/tax-brackets-calculator.php
I'm going off of $85,000USD/$106571CAD (equivalent today according to Google), and using California.
California: total tax paid $25,252.56USD, you keep $59,747USD
Saskatchewan: total tax paid $30,465CAD ($24,308.33USD), you keep $76,106CAD ($60,702.91USD)
So on the same amount of income, we pay about the same as California residents, but all of our health care costs come out of the taxes we've paid. Seems like a pretty good deal, not having to pay any health insurance premiums on top of that.