Knowing how utterly uncreative I am, I'd probably end up naming my theoretical country something along the lines of Zeon, Amestris, Mid-Childa, Belka, Osea, Yuktobania, or even Gensokyo just for the lulz, as it were.
Whatever the final name ends up being, it'd be a heavily militarized democracy with socialist leanings that makes heavy use of American, British, French, German, and Israeli hardware. I'd write up the details, but I'm too lazy right now.
This whole country-establishing exercise might actually make a good idea for an RP, in fact...