Acceptable Targets: White Confederate Americans: they're all shown to be various degrees of racist, they have a rather bland and stagnant culture (and don't admit how much of the vigor their culture does have originates from their black slaves), and they're basically pure evil. Even the northern whites get castigated for their lukewarm (at best) support for abolition, it being broadly hinted that they might have fared better if they'd rallied more eagerly to it as a cause.
Ear Worm: Senator Fauntroy's campaign jingle. Specifically, the longer version that runs over the credits.
Also, the theme to R.U.N.A.W.A.Y., a parody of Cops—which, in an even more entertaining/dastardly nod, sounds suspiciously like "Bad Boys" (the Real Song Theme Tune to Cops), but done by a bluegrass band as opposed to a black reggae group.
Fair for Its Day: Very much averted, even in instances where it was the case for the Confederacy. Many Native Americans fought for the Confederacy in real life because they believed the CSA was better for their future (the Cherokee even had representation in the CSA Congress), but in the film they are treated pretty much the same as they were in real life by the USA.
Misaimed Fandom : Both examples of these can easily be found in this article's Headscratchers, discussion, and review pages.
The purpose of the mockumentary is to discuss the issue of racism from a new angle. Unfortunately, that purpose is lost on the people (both American and non-American) who applaud the documentary for "exposing the real United States as the Evil Empire that it truly is."
Narm: Parts of the Fauntroy jingle that weren't offensive were this, such as when they vow to "crush... evildoers".
Older Than They Think: Yes, the word "Aryan" (when used to describe a person of Northern European ancestry) did exist before the Nazis got their mitts on it. In fact, it is used in precisely this context in D. W. Griffith's The Birth of a Nation, which The Hunt for Dishonest Abe is an obvious Captain Ersatz for.
Propaganda Piece: In-Universe: The Family Values Program is a series of propaganda films to brainwash slaves, keep women submissive, and root out homosexuals.
Special Effect Failure: One of the opening shots is of a now-CSA-branded NASA rocket taking off, edited from actual footage. They did a fine job replacing the "U" with a "C", but the font doesn't match — the "S" has straight, squared-off sides like Eurostile while the "C" is perfectly round like Helvetica.
Tear Jerker: As much of a racist Jerkass Fauntroy is, you can't help but feel a little sorry for him as he discusses the pain he felt when his father was assassinated by JBUnote John Brown Underground operatives.