Foolacy vs. Fallacy
Black-or-White is a type of Exaggeration, specifically exaggerating to two extremes. This is the common name for False Dilemma and False Dichotomy.
False Dilemma is when you argue there are only two choices when really there are more. But I could not find any good examples as a fallacy. Most examples were just contrived and unrealistic. And the others don’t seem like a cheat: people often pose dilemmas to help put your choices in perspective between two extremes, like, “Do you want a boring 9-to-5 job, or do you want to follow your passions?” The listener is not being tricked into thinking those are the only two choices. This rhetorical device is fair and common, not really a fallacy.
False Dichotomy is when you assume there are only two conditions when really there are multiple or a continuum. But this is not always a cheat. Legal trials come down to guilty or not guilty; elections come down to one party or the other. Debates are divided into two sides, pro and con. (Having said that, this thinking gets in the way of finding a better third option or making improvements, but it’s still not a fallacy.)
“Love it or leave it” and “If you’re not part of the solution you’re part of the problem” are common examples, but I found they’re used more as cliche expressions and rhetorical devices, not really arguments that fool anyone.
There were so many Black-or-White argument examples that I added two more specific foolacies which overlap as subtypes of Black-or-White:
Archenemy is like “If you’re not for me you’re against me.”
Perfectionist is like “The solution doesn’t fix everything so reject it,” and “You were wrong once so you’re unqualified.” (The quizzes accept either Perfectionist or Black-or-White as correct answers for many of these.)
Racism and sexism are common examples of Black-or-White (no pun intended). People often argue that people/institutions either “are” or “are not” racist/sexist, ignoring the continuum in-between. Or that men cannot argue for men’s rights as if sexism were either/or.
Examples like “Vote for this bill or you’ll ruin our country!” are saying if-action-A-then-consequence-B. They are binary rhetoric, but not good examples of false dilemmas or dichotomies. They fit better as Exaggerating and maybe Scare Tactics.