They should only be responsible for what is reasonably foreseeable and it should be relative to their capabilities. No healthcare system in the world is prepared for this pandemic, but the ones who had more notice before it got to their shores have a duty to help prevent the spread and treat those infected to the extent possible. New York state cannot direct other states to produce medical equipment, they can only direct those factories within their jurisdiction. The federal government was in the best position to coordinate the effort to increase ventilator production. The hospitals, and our healthcare system is not designed to combat a pandemic (again, no country's is). This is a known fact, the assumption being, if there is such an emergency, the federal government would be there assist. The federal gov't didn't even place a hold on price gouging for medical supplies. States were competing with each other for medical supplies, and the medical supply companies were price gouging (oh yeah, the Federal gov't was also competing against the states for these supplies). That is egregious.
Everyone has a duty to mitigate this pandemic. What percentage do states, hospitals and the federal gov't have with regard to meeting that duty? I have no idea. That's too speculative, but I can say the federal gov't is best situated to protect the people in this country, and thus should bear most of the responsibility.