But here's the part I find interesting: why assume a superintelligent AI would actually want to kill us?
Let's make the hopeful assumption that the superintelligent AIs will not "go rogue" in any way, but will correctly try to carry out their tasks as assigned by the people who designed and trained them.
Pretty much every major nation has military AIs, at this point. So the Chinese AIs are working hard on how to defeat the Americans, and the American AIs are working hard on how to defeat the Russians, and so on. In the final analysis, no matter where you live, there is probably an AI that has been explicitly tasked by its operators with figuring out the most effective ways to do you in. Not because they've "gone wrong", but because they're working as intended.