1) The Pangaean Union
2) Ouranostratia (The O.S.)
Too weird? Most people are familiar with Pangaea ("all earth" in Greek). That led me to google for other Greek words, and I pulled out Ouranos (the ancient sky father god, literally sky or heaven), and stratia (= army). So, Ouranostratia is "sky-army" or "heaven-army."
I was thinking that, if a western-style democracy took hold of the entire world, they might look back to the roots of Western civilization to find names for things.
The OS would of course have advanced fighters, like the OS-19 and OS-21. Maybe even an OS-X Wing!