The reason government at all levels are getting involved is because of two reasons: they are constitutionally responsible and they are the ones held responsible.
First, at the federal level, in the preamble it states the federal government has the responsibility of promoting the general welfare and securing the blessings of liberty for its citizens. At the state and local levels, after education, their primary responsibilities are the protections of our health, safety, and welfare.
Events like this, whether this be a pandemic, biologic attack, terrorist attack, etc. that affect the lives of many people simultaneously stress those responsibilities. There simply isn't enough people, supplies, etc. to counter something of this magnitude. That's why Trump gets blamed. That's why Cuomo et. al. are held responsible. It would be happening no matter who's in office - it just happened to fall under their watch.
We are naturally lucky here. We have no large cities where this can spread quickly. We naturally are socially distant people who stay by ourselves and only get involved if asked or needed. That's why it isn't as bad here.
Yet, if one of your family members gets this and dies, the blame doesn't fall on the person who didn't stay home and who just happened to be in the wrong place at the wrong time or come into contact with someone who has it. The blame goes to Trump, Justice, or Sheriff Joe Blow for not stopping XYZ from killing our family.
Its a chance and a choice that people have to make. Just make sure that whatever happens, the blame falls where it should.