The New Sheep
To escape from Polyphemus Odysseus and his crew hid under Polyphemus' sheep to exit his cave.
During the film the Everett, Pete and Delmar disguise themselves in the white KKK hoods and dresses to escape detection from the other members in a hope to save Tommy, who is about to get lynched.
This is a clear allusion to the sheep disguises used by Odysseus. Though the disguises for Everett and his crew do not work as Big Dan smells Everett's hair pomade, highlighting his tragic flaw of pride (another link to Odysseus), and alerts his other KKK members of their presence.