I don't see the Jesus relation at all. Orestes is a Greek myth related to the Trojan War. Orestes was the son of the Greek king Agamennon. Orestes's mother killed his father for various reasons, and Orestes was torn with his duty to avenge his father. On the one hand, he was expected to avenge his father, but doing so would mean killing his mother. Whatever choice he made, he would be cursed, either for not avenging his father or for killing his mother.
So the literal meaning of this song has to do with Orestes trying to separate his maternal bond ("sever this umbilical residue") so that he can avenge his father. But seeing as how APC is never solely literal, it has applications to the whole "damned if I do, damned if I don't" moments in life.
I don't see the Jesus relation at all. Orestes is a Greek myth related to the Trojan War. Orestes was the son of the Greek king Agamennon. Orestes's mother killed his father for various reasons, and Orestes was torn with his duty to avenge his father. On the one hand, he was expected to avenge his father, but doing so would mean killing his mother. Whatever choice he made, he would be cursed, either for not avenging his father or for killing his mother.
So the literal meaning of this song has to do with Orestes trying to separate his maternal bond ("sever this umbilical residue") so that he can avenge his father. But seeing as how APC is never solely literal, it has applications to the whole "damned if I do, damned if I don't" moments in life.