A large number of Americans desire massive federal power.
It's complicated.
A 2016 Gallup poll (https://news.gallup.com/poll/27286/government.aspx) revealed that 55 percent of respondents preferred power to be concentrated in state governments; 37 percent preferred the federal government.
Another group of surveys (https://www.cato.org/sites/cato.org/files/pubs/pdf/pa759_web...) shows that Americans strongly prefer state and local governments to lead on health insurance (62 percent, versus 38 percent preferring federal leadership), welfare (68/31 percent), unemployment (55/26 percent), education (75/25 percent), pre-kindergarten education (71/25 percent), transportation (78/22 percent), law enforcement (73/20 percent), job training (75/20 percent), housing (83/18 percent), and paving roads (77/9 percent).
The problem with the universal health care polls is that 1) "universal healthcare" is such a broad term that can mean anything from NHS style single provider to Switzerland style universal privatized systems, and 2) it's entirely possible to favor a "universal healthcare" system that's administered and funded at the State level as opposed to the Federal level.
There's no reason states couldn't implement it if they wanted to. And some did.
Which is part of why it's such a power grab. The "universal" part of it goes against the entire concept of tiered / federated / rupublic type of government.
It's dogmatic. Politics has become religion, especially to the non-religous, and most don't realize it.
"Catholic" means "universal". We can't allow States to have their own laws, when they might not align with the Truth. Praise Science!
Most European countries are of the size of US states. If they can run their healthcare just fine, it only makes it dumber idea to try to centralize it in US at the federal level.
If we wanted to take Canada's cue, there's plenty of room to increase State tax rates even if we did nothing about Federal taxation. Or we could take Switzerland's cue and totally flip the distribution, where Cantonal taxes far exceed Federal income tax.