IIRC, this business about space being in the domain of all people, blah blah blah, has come under some serious scrutiny lately, what with all the communications satellites up there, to say nothing of inter-continental ballistic missiles, space shuttles, and leftover space junk hovering around up there.
I seem to remember an article somewhere (maybe Cecil touched on this) about some third-world nation (I think it was Peru) getting a little snippy about the fact that all manner of space stuff was floating about in space, directly above Peru. They broadly hinted that unless a rent check was cut, a Peruvian surface-to-space missile might find its way up there. Hasty negotiations were begun, and AFAIK the matter was settled, apparently with the hint that space-to-surface ballistic missiles might find their way to Peru if they wanted to push the issue. Treatie-schmeatie. In today’s political climate, it’s might makes right.