I think startups that cater to providing services to government funded organizations will probably do better, especially with all this new government debt globally in the form of "stimulus".
I don't expect that will turn out to be the case as funding will be reallocated across various government programs in an extreme manner. The impact of Hurricane Katrina on DHS programs is a comparatively small example of what can happen after an event like this.
Companies large enough to serve multiple different organizations may be able to re-balance their services.
Yeah I have a friend who works for a small company (although not a startup) that provides essential services to the government, we think he's as safe as anyone.