The US government already pays more per capita for health care than Canada, despite not covering anywhere close to everybody. If one could wave a magic wand and transmute the US to the Canadian system, US government health care expenditures would actually fall, and taxed could be lowered.
I don't disagree with that either, I'm just pointing out that universal coverage, done well and efficiently (a massive qualifier, I know) wouldn't require any tax increases at all.