Comment: LOTL, that petition you mention in your last sentence can be read in John's Gospel  (17:21). Since you made the sentence an exclamation, I presume that you, like me, recognize just how pivotal is the petition to (and how definitional of) any genuine claim to be Jesus' disciple. What exactly was Jesus asking of his Father? If you read to the end of the chapter, the answer is clearly stated: "...that the love with which thou hast loved me may be in them, and I in them." (The New Oxford Annotated Bible, v 26)

The unity Jesus seeks of his followers is primarily a unity in love, not doctrine. I don't deny the importance of doctrine, but I do deny that it has supreme importance. Belief in (intellectual assent to) the dogma of the Eucharist cannot redeem a person: only Eucharistic love, manifested in and through word and deed, can do this. Note, however, that intellectual assent to Eucharistic dogma is not a condition for exercising the love referenced by the dogma.