How does a non-God Jesus sitting as King forever correct the rejection of God as King that began in Samuel's day?

In 1 Samuel chapter 8 we see an aged Samuel giving his sons authority to judge Israel. His sons did not act with integrity and the leaders of Israel come asking Samuel to set a king over them like the nations surrounding them. Samuel is distressed over this request and prays to the Lord, who replies: > Hearken unto the voice of the people in all that they say unto thee: for they have not rejected thee, but they have rejected me, that I should not reign over them. - 1 Samuel 8:7b We see, then, a clear demonstration that the presiding over Israel of a human king is a tacit rejection of God as King. That is to say that God's intention, His highest ideal for Israel is as a theocracy rather than a monarchy: God as King speaking through his prophets. *Note: Even the implementation of the prophetic office was a condescension to the fearful request of the people (Exodus 20:19).* The monarchy, even under God's anointed king, David, is a graceful condescension (and not without consequence) to a wayward and idolatrous people: > According to all the works which they have done since the day that I brought them up out of Egypt even unto this day, wherewith they have forsaken me, and served other gods, so do they also unto thee. Now therefore hearken unto their voice: howbeit yet protest solemnly unto them, and shew them the manner of the king that shall reign over them. - v. 8-9 We know that Jesus Christ is given to sit on the throne of his father David and reign as King forever: > He shall be great, and shall be called the Son of the Highest: and the Lord God shall give unto him the throne of his father David: And he shall reign over the house of Jacob for ever; and of his kingdom there shall be no end. - Luke 1:32-33 We also know that Jesus' kingdom is not a worldly kingdom: > My kingdom is not of this world: if my kingdom were of this world, then would my servants fight, that I should not be delivered to the Jews: but now is my kingdom not from hence. - John 18:36 Since Jesus' kingdom is not of this world and the throne of that kingdom is David's throne it stands to reason that David's kingdom was not ultimately of this world either. It was, to use the language of John 17:14-16, in this world but not of this world. Looking back to 1 Samuel we see that it is God's kingdom and God's place on the throne thereof that was rejected. Therefore, since God's kingdom and throne are everlasting, we may say that all human kings (good or bad) sitting on that throne reigned as proxies because God, Himself, was rejected as king. For those who believe that Jesus is less than or other than God (whether merely human or a lesser created being), how does a non-God Jesus sitting as King correct the rejection of God as King that began in Samuel's day and continues even now? In other words, if a proxy King is indicative of the problem of God's being rejected, how is that problem solved by yet another proxy King?