For better or for worse, 0 chance this happens for the exact same reason Elon/SpaceX is also tied to the US regardless of how goofy the government gets. If they did so, it would almost certainly directly drive criminal prosecution with various national security flavorings on top.

Every single worker and operation would need to be in countries with no extradition treaties, and even then they'd likely be limited to serving the tiny handful of nations that are willing/able to resist US pressure, so pretty much - Russia and China.