What's funny to me about the Civilization segment in that video is that while I agree with the notion that you can perceive the "theme" of a game like Civilization by looking at the assumptions underlying its mechanics, I don't think there's anything particularly American, imperialistic or jingoistic about Civilization at all. Western, maybe? Setting aside the victory conditions, if you look at the mechanics as a whole, I think what you see is a very optimistic, humanist, utopian, ideal historical continuum centered around constant progress. Technological and cultural development is uniformly positive in nature and unilineal, without any major setbacks or periods of decline. You arrive in an empty land and proceed to take over, taking over resources that are endless and cannot be overexploited or destroyed. Pollution and environmental damage are insigificant problems. The cities founded in 4000 BC most likely exist six thousand years later. Progress is constant, nothing of value is ever lost.
Civilizations are indivisible entities emerging at the dawn of time into a practically empty, unclaimed land, without religious, ethnic, cultural or political divisions, perpetuating itself through time. Internal politics barely exist, and are hardly even abstracted. Your people are either collectively happy or not, so you cannot exploit your ignorant peasantry or your wretched borderlands to feed the insatiable maw of an opulent imperial upper class to keep them loyal to you. As a result, money and treasure are nearly pointless, making cultural and scientific advancement vastly more valuable than currency.
Cities and civilizations as a whole are persistently self-sufficient entities, what with their infinite resources and all. It follows that encounters with other civilizations lead either into friendly exchanges of technology and trade or total war (there is tribute, but it's almost completely irrelevant). Foreign trade never forms a major part of economy; you can't exploit your neighbors for resources or enslave them for industrial projects, which makes raiding and pillaging pointless, despite those being some of the most important reasons for warfare in history. The easiest way to gain military superiority is to be more advanced than your neighbors, at which point there's no real point in fighting them since they have nothing of value to you anyway.
Now, you could have an interesting discussion about how much of this is a result of deliberate design choices, and whether this kind of abstracted, practically sanitized history is necessary to make a fun, playable game. (I think most people prefer playing an optimistic, historical continuity over one that features frequent periods of dissolution, collapse and ruin, despite that the latter could lead to very interesting gameplay scenarios.) But I think it's pretty clear that the game does have a very particular perception of history and human society, which can definitely be examined from a political perspective. Although strangely, I think the most likely criticism that could be lodged against Civ from a progressive standpoint is how readily it glosses over how ugly, scrappy and full of shortsighted decisions and false starts history actually is.