Other mistake: When the switch is thrown to electrocute Terrence and Phillip, it's pulled downwards. A few shots later, we see Cartman jump in to save T and P by turning the switch off. He also pulls the switch downwards instead of pushing it upwards.
Continuity mistake: During the "La Resistance" number, during the verse, "They may stab you in the head, with a dagger or sword," We see a guy wearing blue with a blue hat on the left (probably Craig). In the next shot, he disappears, and in the next shot, he reappears.
Factual error: During the press conference, the president says that at 5:00 AM the Baldwin residence was bombed. However, the Baldwins were sunning themselves. And, if the president was referring to Eastern time, it would have been 2:00 AM in Hollywood (sign in the background).
Plot hole: The night of the La Resistance meeting, before Kenny appears as a ghost, Cartman can be seen putting a mirror and a rope into his backpack. These are items that The Mole requested they bring for the rescue operation, but they hadn't met The Mole yet. How did Cartman know what to bring?
Continuity mistake: When Saddam is packing his suitcase for Earth, you can see a little doll in the case, on the right hand side of it. But in one shot when Saddam gasps because Satan says he's leaving him, the doll is on the left hand side of the case. Straight after that shot though, it's back on the right hand side of the case.
Continuity mistake: When Mr. Mackey starts to spin Stan around at the end of the "It's Easy, Mmmkay" song, they spin anti-clockwise. Then, from Stan's point of view, they are spinning clockwise, (the background moves to the left). Then, from Mr. Mackey's point of view, they are spinning anti-clockwise again, (the background moves to the right).
Continuity mistake: On the Conan O'Brien show, Terrance and Phillip put on moustaches, then Phillip farts in Terrance's face and Terrance goes flying off the screen with no moustache on. Yet in the next shot of him landing in the drum, he has his moustache back on. (Best viewed in slow-motion)
Continuity mistake: When Mole digs out onto the stage, you can see Terrance and Phillip in their chairs, and the helmets they're wearing have a wire which is connected to the chair. Yet in a closeup of Mole talking to Terrance and Phillip, the wire goes straight up, and isn't connected to the chair.
Continuity mistake: When the kids walk away from the movie theater, and they start to sing "Uncle F----," Stan moves to the back of the line, then in the next shot, he's in the front.
Continuity mistake: Towards the end of the "Kyle's Mom" song - when his mother actually appears on screen - the position of her arms change between shots. In some shots, her arm are flat against herself, in others, she has her hands on her hips and her arms arched, etc.