Everything lifted into space by a US entity, including StarLink satellites, are under the jurisdiction of the FAA with stringent licensing (or permitting, depending on the payload) procedures and restrictions.
SpaceX is a US entity and will be forever. SpaceX intellectual property cannot even legally be transferred to an entity not approved by the Department of Defense.
"god rods" are pretty much science fiction. They're not all that practical weapons, and even launching even a single one without the government noticing is rather unlikely. And would at the same time be not that scary.
