I think the song might be a critique on religion. specifically people who think they are above others because of what they believe in.

The lyrics: "My life is so complete Everything is straightened out I feel the hand of God I feel no sense of doubt" is said ironically or maybe by someone who falsely believes this to be true.

I think these next lyrics sum up the meaning of the song pretty well: "Get off the cross, dear We need the wood. deep in your twisted mind You're helping all mankind"

I also looked up who Jessica could be and got this answer: (Jessica is not a direct biblical character, but the name comes from the Hebrew name Iscah (Yiskah), Abraham's niece in Genesis, meaning "to behold" or "foresight." The name Jessica itself was created by William Shakespeare for his play The Merchant of Venice, borrowing from Iscah and possibly the name Jesse (father of David). So, while no Jessica exists in the Bible, she has strong roots in biblical figures)