I imagine a lot of government agencies and government funded projects will survive by transforming into DAOs themselves. The Smithsonian Institution, the Bureau of the Census, the Patent and Trademark Office, the Postal Service, Department of Education... the list goes on.
One question though: What happens to nukes? Maybe repurposed for space exploration or power generation?
The most likely path will be power generation. The World Nuclear Association reports that this practice has been in play for quite some time now. There are talks for using these weapons in space, but given the stigma of nuclear power, it will be some time before they do so with a quantity above what's needed for a satellite. Even that amount causes drama.