Nice that you are an academic citizen, but sorry I am not impressed with how you approach the Bible... You are not comprehensive in your reading, so when something contradicts you, you do not offer a convincing explanation theory to harmonize it all (like a scientist would), but simply ignore what doesn't suit you... I mean it's great that this isn't a salvation matter so however the discussion goes with whatever thoughts we walk away is fine... But you conclude definite things based on a verse or two, instead basing conclusions upon the entire body of verses we are given about a specific matter, which is what is the problem. Most of your arguments in that post were assumptions without any base in the Bible. I don't even want to go into all, but I since you jumped onto soul. When you say "body doesn't need a soul"... But in Genesis God breathed into the body of Adam, "and man became a living soul". Acquiring soul means life in a BODY sustained by God's breath (Spirit), so soul and body are inseparable, you're mixing up soul with spirit (ghost), which can live without physical body and is said to return to God...
While reconstructing the analogy of image, we have to go by the clues the Bible gives us:
God has body (body of Christ) aka physical manifestation. Man has physical manifestation. Man also has a spirit or identity/essence/being and God also has Spirit (Love). This leaves the mind and soul. "Thoughts of the heart" - the Bible merges mind and soul together, it is one thing as sin and thoughts proceed from the heart, and it is the "soul that sins" that "shall die". So Biblically, the heart, mind and soul are all pointing at the same thing, the living, conscient, intelligent, sentient aspect of man. The Father is the mind and soul of God and He is analogous to this in man that thoughts of His heart (Loving center of being), aka will and intention arise from Him ("our Father, Thy will be done") like our intentions arise from our hearts. Jesus says that Father had given us into His hand - the forethought is the Father's, confirming that He's the mind of God.
I'm not brainwashed or biased or anything against your idea that Father = Holy Spirit. I have no reason to be, because I traversed it myself for a while, and it failed to line up fully with the Scriptures. It's a very attractive hypothesis, hyping one up to think that the frustrating theological explanations and dumb analogies are a thing of the past if we just read carefully enough, and that these people had no idea and just complicated it to keep people away from the truth, but it's actually soooo simple, and now we have it all figured out about God... Yes yes very attractive idea, fell for it myself, but in reality when all, not just cherrypicked verses are brought up, it exposes that it does not stand, and Father is not exactly the same as Holy Spirit, there is certain interrelation within God's being.