The phrase is also a play on words (sorta): "I miss America" is kind of like the Miss America contest. Not that the collapse of a country and a beauty pageant have anything in common; it's just that people "miss" in the same sentence as "America" and it sticks with them.
And you know, that did cross my mind when I first read the words. The whole Miss America pageant is filled with fun stuff, intelligent women, great dresses, etc. Like it or hate it, if you're watching the Miss America pageant, the thought might cross your mind that hey, anyone can grow up and be Miss America, know what I mean? And that's what people think/thought of America - hey, anyone can grow up and be Miss America or whatever they want. I'm not sure I'm properly conveying what's in my head, but hopefully you get the picture.
It's a catchy phrase, and the play on words I think adds to it. Well done!