Yeah, everything would be "okay for everyone", but worse than the best we can get right now. I don't want "NHS" in America--I don't want the government having a say in my medical care and treatment options. Have some rare kind of cancer, and the newest, best Chemo drugs haven't gone through all the right governmental approval processes yet to be added to the standard treatment plans? I'd be screwed. I fully support everyone having access to healthcare COVERAGE, including subsidizing it or otherwise making it free for people who can't afford it. However, I don't want out dysfunctional bureaucratic government running hospitals and hiring doctors. That's where I firmly draw the line. I don't want to see the same kind of people that run Medicare and spent a billion dollars on HealthCare.gov making my medical decisions. There are other things that can be done to lower healthcare costs as well--allowing medical insurance companies to sell across state lines, limiting Malpractice liabilities, preventing margins over X for medical supplies, etc.
Education, as well... There should definitely be free options for higher education in America--it's an investment in America's future, not to be cliche. That said, public schools in America are a fucking nightmare. I don't want higher education to be government-owned. What if I want to learn something that isn't a part of the government's program? I guess with both Education and Healthcare, everyone should have access to them, but access to "better healthcare" or "better education" shouldn't be further restricted for those that can afford it, in the process.