well there are two things you guys are overlooking from the movie IMO…
1. the machines used the machines and schematics they had AVAILABLE. And that said, they used them in a mad scramble to protect themselves/skynet. You know how often your machines turn off/become unreliable/break down. Skynet used EVERYTHING at it’s disposal instantly, because that’s the most efficient.
2. I took it (especially from the last terminator movie) that like the matrix, humans were needed for certain things.
3. I also took it, that the rest of the planet, didn’t have their own sky/net machines/drones. and that the bulk of the problem was an American one.
4. Nuclear Devestation also would have damaged machines… EMP would have messed them up.