Satellites in LEO, probably, albeit at enormously wasteful expense compared to, say, an SM-3, or some other sort of anti-satellite missile. (Ships with the Aegis guided missile system mount SM-3s, and they've been successfully tested against satellites in low orbit.)

I haven't time at the moment to check, but I'd assume GPS and GLONASS birds are in geostationary orbit (or whatever they call that now), which would complicate matters significantly. I imagine the Air Force probably has some sort of weapon in mind for such cases, but I wouldn't begin to know how to guess what that is, except presumably a big rocket, whose payload is a small rocket, whose payload in turn is a tiny warhead with some very precise attitude jets.

NASA never wanted a "space truck". Ever see 2001: A Space Odyssey? NASA wanted something along the lines of the spaceplane/station/moonbase system depicted in the first act; the Space Shuttle program was all they could sell to Congress, largely thanks to the efforts of now-deceased then-Senator William Proxmire. (If you've ever heard a science-fiction fan curse that name and wondered why, now you know; if you want the full story, read the book whose URL I just edited into my prior comment.)

And, yes, "its [sic] easy to point the conspiracy theory finger when the military is involved." It's easy to do a lot of things, which is not the same as saying those things are sensible or worth doing; ignorance, especially of the trivially addressable sort, is no excuse for foolishness.