In what sense do you think this verse teaches that we shall be like Him? Are you suggesting that we shall be omniscient?
Knowlege is not perfection. To be perfected is to be fully constituted with Christ as our Life and Nature. To be fully in the New Creation. To be fully conformed to the Image of the First Born Son of God, to be free totally from all taints of the fallen, sinful, old creation, and to be wholly transformed by the Divine Life.
The great chareteristic of the New Jeruselem is not the tree of knowlege but the Tree of Life which grows on either side of the River of the Water of Life which flows from the throne of God and of the Lamb.
To be Like Him is to be a full grown, matured, son of God with His Life, His Nature throughout and our entire body, soul, and spirit to be in resurrection, permeated with the Divine Life expressing God and not our fallen Self.
Christ never suffered from any imperfection. He was sinless. Yet he grew in grace and in knowlege and wisdom as a man. And in resurrection His humanity was glorified and brought into the Divine Glory being designated the Son of God in HIs humanity by the resurrection from the dead (Romans 1:3).
In Like mannor, in resurrection being fully conformed to Christ, our bodies will be transfigured and brought into the Divine Glory and as Paul says, "And if the Spirit of the One who raised Jesus from the dead dwells in you, He who raised Christ from the dead will also give life to your mortal bodies through His Spirit who indwells you".
Perfection is a matter of constitution and of the Divine Life and Nature and not of knowlege but nevertheless, in that day we shall also know fully according to the Bible. We shall be permeated with the Divine Life body, soul, and Spirit, fully brought into the New Creation and all that is of the Old creation, all that is sinful, all that is of Adam will be in the lake of fire forever. This is the record of scripture.
We will not be Omnicient, but we will be fully constituted with the Omnicient One as our Life, our nature and our Life supply. Just as Christ was not omnicient in His humanity but grew in wisdom and knowlenge, yet in His divine nature as God he was Eternal, omnicient, and possessed all the attributes of God.
IN the natural relm a flower may not posess the knowlege which we posses, but it's perfection lies in it's being a flower to express its inate life as a flower. And in that day, our perfection will not consist in our knowlege, but in our expression of the Divine Life which constitutes us.
There is no record of growth in the New Jeruslelem, but rather the eternal enjoyment of God, the eternal expression of God, the eternal flow of the River of Water of Life and the Eternal Divine/human incorporation of the Eternal God with His redeemed, regenererated, transformed, conformed and transfigured tripartite believers ever being their Life and Life supply and them being His eternal expression haveing the Glory of God and living from God as her source of Life. He is the Temple and they are the tabernacle of God. "Behold, the Tabernacle of God is amnng men.
She is the Wife of the Lamb, the City of God, the House of God, the tabernacle of God (the dwelling place of God) and the expression of God for eternity.
Romans 8:29: "For whom He did forknow, He did also predestinate to become confomred to the Image of His Son, that He might be the First Born among many Brothers"
2 Cor 3: "For we with unveiled face, beholding and reflecting like a mirror, the glory of the Lord are being transformed into the same image from glory to glory, even as from the Lord Spirit..."
Rev. 21:9-11 "Come here, I will show you the bride, the Wife of the lamb. And he carried me away in spirit onto a great an high mountian and showed me the holy city, Jerusalem, coming down out of heaven from God, Having the glory of God, Her light was like a most precious stone, like a jasper, as clear as crystal..."
The New Jerusalem, God's building is built completely from the Divine materials of Gold, Silver and precious stones. She is built up by the Spirit's work in the beleivers today by the ministry of Christ and will be consumated as the New Jerusalem in the New earth. Today she is the chuch, the body of Christ, the household of God, In that day she will be consumated as the New Jerusalem, built of the materials of the Triune God. The Gold of the Divine Nature, the Silver of Christ's redemption, and the precious stones of the Spirit's transforming work.
She will be totally like Him, the same as He is in Life and nature but not in His Godhead. He will ever be the Divine Source, Christ will ever be the Bridegroom, and the First Born, and we will forever be constituted with Him and derive our Life from Him as the flow of the Living Water.
As Eve was built out of Adam's nature and substance, so the New Jerusalem, as the Wife of the Lamb is built out of His Life and Nature to be His eternal counterpart, His corporate Bride, wholly like HIm and wholly dependant upon Him and without spot or wrinkle.
Graftedbranch