Alright, so the important ones, political and military are true, technologically they are the best where it counts (military hardware) and even when they are not, are able to simply buy the best technologies from foreign nations. Now economically, they're pulling the strings of argueably the 3 most powerful financial institutions in existence, the IMF, WTO and World Bank, as well as having the usual excessive influence over UNCTAD, though they (unctad) have shown some independence. Yes, the American economy is heavily dependent on foreign markets, but especially in Asia, those appear to be well under control.
So, the 4 most important ones are for the most part completely true, and the culural one is debatable. Can you think of any sign more universally recongizable than Coke or McDonads, or Mickey Mouse, or MTV? American corporate branding has left no corner of the world untouched, and is today perhaps one of the few common threads between almost all nations and all peoples.