The Hebrew Hammer's vest disappears after exiting the Jewish Underground Railroad.
When Mordechai and Mohammed first enter Santa's workshop, Mordechai has his tallit on his head. After he gets inside it is being worn properly around his neck.
When the Hammer is in his car, it has a normal Florida license plate. When there is close up, it shows that it is a New York license vanity plate that says "L'CHAIM". This is seen later in the movie when he talks to Shlomo and gives him a tape from the trunk.
At the North Pole, right after Santa barricades the door, we see Hammer pointing a gun at Santa. When he racks the slide to chamber a bullet the slide stays back indicating it is unloaded, but when the camera changes angles he's able to shoot the tomato.
When Mordechai enters the skinhead bar, he walks over to the jukebox and after depositing his money, he pushes three buttons and his song begins to play. The jukebox in the bar is a CD unit, which uses four numbers for song selection, two for the disc number, and two for the track. Only vinyl jukeboxes use three numbers.
Mordechai is portrayed as a faithful Orthodox Jew, but during a scene with his shirt off, the morning after Mordechai and Esther make love, it's clear that Mordechai has several tattoos, which are forbidden in traditional Judaism. Adam Goldberg has stated in interviews that the only reason for this is that he was too lazy to get up early in the morning to have the makeup artists cover up the tattoos. The tattoos go without comment in the dialogue because, according to director Jonathan Kesselman, the Hebrew Hammer has already gone against tradition by engaging in premarital sex, and so a couple tattoos are nothing compared to that.
When Mordechai and Mohammed are climbing up the wall surrounding Santa's workshop, Mohammed's pendant can clearly be seen hanging "down" towards the side of the screen when he lets go of the rope
In the beginning when young Mordechai is walking down the street after school, the parking meters are the modern electronic LCD-screen type, not the mechanical dial type of the 70s or 80s when this scene most likely takes place.
When the Jewish children are heard singing "Silent Night", their mouths are not in sync at all with the music
When Mordechai and Mohammed are entering Santa's workshop, the set for the Jewish Atomic Clock scene can be seen behind them.
When the Hebrew Hammer travels from Ben-Gurion Airport to Jerusalem, the road in the desert is bisected by yellow lines. Roads in Israel, however, are bisected by white lines. The scene was actually shot in the Joshua Tree desert in California, and the actual road from Ben-Gurion Airport to Jerusalem is a major highway, not a two-lane road.
When Mordechai is using his tefillin as a grappling hook, he can be seen wearing them on his right arm and hand. Because tefillin are wound around the non-dominant arm, this would only be correct if Mordechai is left-handed; in the next scene he is holding a gun in his right hand.