You're surrendering to shadows on that one! It's not going to change -- that a creature of flesh and bone becomes a bearer of the divine, of Christ in the Eucharist. If you are a believing Catholic, of course, you could nuance it as many do: a priest is "another Christ" as any "least" person is another Christ -- as in Matthew 25:  "I assure you that whatever you did for the least of my brothers you did it for me."  Literally, Jesus is saying, when we feed the hungry, we are feeding Him.

For non-Catholics, it is mythology. Emerson reminds us that in the US there is a  religion apiece, a myth a piece. Each person is free to believe whatever he or she wants to believe. So if I squeeze wet clay in my hand and believe I am in touch with God, I am -- in my mind and belief system. Or if I am a Tantric Buddhist and believe I can invoke deities by magic and rituals, I am -- and that's OK too in the US. Is calling a priest "alter Christi" any more a sick joke than Buddhist practice or Hindu?