Earlier quoted context omitted.
No, it wouldn't. The European single-payer systems pay half what we do per-capita, factoring in private and public spending in both systems. The US system is wildly cost inefficient. See the chart at https://data.oecd.org/healthres/health-spending.htm
Of course it'll raise tax rates. That money does come from somewhere . The real question is whether employers will raise salaries enough to compensate for the additional taxes, once they're no longer providing insurance as a benefit.
I don't think that's even a question. The answer is no, they won't.