Note: I have pasted this response more than a few times over the years. It is not intended to single out any poster here who has fallen into this propaganda trap (as some have), but rather to answer the question. And yes, this has been a pet peeve of mine for some time now.
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I fear you may be tangled up a bit in the dreaded "Not a democracy, but a Republic" meme. It's something that sounds reasonable but in reality is nearly devoid of content -- a particularly insidious type of propaganda. And in fact, neofascist propaganda. What makes the phrase so troublesome is not really what it says -- but rather what it implies without actually saying.
The word "republic" simply means "non-monarchy" (which would be a kingdom). Cuba is a Republic and the "evil empire" was the USSR(epublics). They also have/had constitutions. And since the US is not a monarchy, we are certainly a republic. But that's not really saying anything substantive.
The only real content in the statement is "not a democracy," which in addition to being false about the US -- implies something derogatory about democracy or democracies (and thus about America and Americans). The implication is that there is some "other thing" that is better than a democracy. The purpose is to allow people to fill that void with whatever vague notion they'd like to: presumably some form of a theocracy, or autocracy, or "our side"-ocracy.
It sets up a false dichotomy between "Bad Democracy" vs. "Something Good." Also, on a rhetorical level it projects a Democra(tic Party is bad) vs. Republic(an Party is good) subliminal message.
In an attempt to save time, I'll describe the next step in this argument (as I have had this discussion before).
Next comes an attempt to claim that "representative democracy" itself is somehow not democracy. And that this is the "other thing" that the founders wanted and agreed to, in order to avoid the dreaded "mob rule." The reality is that there has never been, nor could there be, a "non-representative" democracy. Not even in ancient democracies was there ever a situation that could be considered "direct democracy" (i.e., "mob rule"). It's simply not workable.
But the "mob rule" threat is simply a bogeyman. Again, the intent is the same. To disseminate a message of "democracy is bad," without revealing that what is being promoted is some
nonspecified form of fascism -- minority rule.
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The anger comes from their unconscious recognition -- when simply challenged by the word itself -- that all they believe is really anti-democratic, and thus Anti-American. And that what they call patriotism is something that might more accurately referred to as "patrionics."
Hope this helps.
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