When Mr. Jefferson's face starts melting, he strongly resembles the Tar Man zombie. Also, the "vertigo effect" when Stan, Kyle, and Blanket see Jefferson with a melted face is a parody of the instance when Tina first sees Tar Man.
This documentary was a big inspiration during the making of this episode and various things in it are referenced; Michael Jackson/Mr. Jefferson keeps saying "You're being ignorant", he climbs up a tree, his son Blanket wears a mask, he dangles Blanket out of a window, he says "Me! Me! Me!" when cotton candy is being given out.