Not sure what you mean by this. Christ doesn't become "part" of my body, I become part of His body.
You needn't go beyond what Paul says (repeatedly,and quite evocatively) about us being members of His body (which is, precisely, incorporation) as well as what Peter says about us participating in the divine nature.
This isn't what the Mormons are talking about. They are not, as I understand it, monotheists; they believe in as many gods as there are inhabited planets. (I don't want to misconstrue them, take with a grain of salt, I am no expert on Mormon doctrine.) But as I understand it, they become 'gods.' They do not participate in the divine nature of the One God, which is a union through love, not by a multiplication of 'gods'.
Sorry, I have to duck out now. I'm still in the midst of a big writing project.
That is a metaphorical body ...not the physical /spiritual body ...on the other hand He promises to indwell the saved ...... He will never leave us.. He lives in me..
That's also the belief of the Catholic Church.
CCC 460 The Word became flesh to make us "partakers of the divine nature": "For this is why the Word became man, and the Son of God became the Son of man: so that man, by entering into communion with the Word and thus receiving divine sonship, might become a son of God." "For the Son of God became man so that we might become God." "The only-begotten Son of God, wanting to make us sharers in his divinity, assumed our nature, so that he, made man, might make men gods."