This right here is about to take this thread way off topic, but it's been bothering me a lot lately. (I want to clarify that I don't know @avromie7's position on this, I'm just quoting him because it serves my purpose.) Why is it that people who express shock and outrage at the idea of government interfering with our lives and businesses also expect the government and police to keep them safe? IMO, once you've determined that it is the government's job to protect the public, you've moved yourself into a grey area where you're arbitrarily setting the line where it's convenient to you, with complete disregard to where others need or want that line to be. That's not to say you can't have an opinion, but line seems to move daily, and the complete disbelief at the line not being exactly where individuals want it to be at that moment on that particular subject is head-scratching.
Congratulation!!! You have hit the million dollar question!
Some things are obviously a public hazard (hurt others... like speeding, stealing, killing) included in the 7 Mitzvos bnei Noach that we need govt enforcement.
Some things are obviously a personal hazard and can not be banned by a government (they only hurt you - drinking large sodas and getting fat)
Coronavirus has both categories:
You can get sick - THIS is YOUR DECISION to make.
You can get others sick - if you are clearly going to infect others the govt can treat that like murder.
If hospitals were actually overwhelmed it MAY be the government's job to ensure everyone has access to healthcare.
As this is a gray area legally it falls along classic big govt or little govt arguments that have been around since the 1st constitutional convention.