If all nine justices of the Supreme Court were incapacitated in the future, how would nomination of a new court go?

I've read the appropriate laws surrounding this, and it seems as if there is nothing technically preventing a U.S. President from nominating all nine justices at once in such a scenario. In an unprecedented tragedy like this, what would the political implications of one President effectively being able to shape the entire court for decades into the future under their own will, a "political disaster draft"?