Au contraire! The US and the USSR during the Cold War each represented the textbook definition of hegemony, and both were big, militaristic, and dominating. Both used large, expensive militaries (Soviet equipment wasn't always well-maintained, but it was extremely sophisticated and cost them far more than they could really afford). They may have wrapped themselves in different flags, so to speak, but they behaved very similarly. I think you could actually argue that the US was the more aggressive, more archetypically hegemonic power; the Soviets generally maintained a defensive posture and didn't engage in such dramatic adventurism as the Americans.
And yeah, you're definitely reading too much into it, but I like the idea of applying literary textual analysis to a game. It's a shame we don't do it more often!
(If I were Alex, though, I think I might be a little weirded out.)