The ambigram-finding part of my brain doesn’t know I’m an atheist.
A few minor changes could make it read Christ/Islam.
I don’t know why I didn’t think to include the title “Lord” before. “Lord Byron” — with the “or” in the first word mirroring the “ro” in the second, and the ascending “d” matching the descending “y” — is a very ambigram-friendly phrase.
I also made anagrams of some of Lord Byron’s poems: