You are taking this passage away from its intent and applying it to the Lord Jesus Christ. It is never to be taken as such.
Rather, the passage is dealing with a people:
1) Who purposed to stray - at no point did Christ stray from the Father's will
2) They "forsook the covenant" - at no point did Christ forsake the Father's covenant with Him.
3) They "served other Gods - He was tested on that specific point, yet never wavered.
Posting the Deuteronomy passage doesn't fit the evidence given of the character and nature of the life and living given in the Gospels.
You answer your own debate statement. What is it that the Psalm specifies as what is hated? "...the wicked and him that loveth violence..."
Taking on sin did not "wicked" make the Lord Jesus Christ any more than all blood sacrifice of the OT took on the wicked. Had He become wicked, then if follows immediately the blood sacrifice would no longer have been pure, righteous, without spot, stain or mar as required. Remember, He had to present himself as the perfect sacrifice before His Father so much so that no earthly would be allowed to even touch Him until that was accomplished. He is worthy to unroll the mighty scroll(s) because He is the pure Lamb, not some wicked that was sacrificed.
As shown above the statement does not conform to Scriptures. Look at the Hebrew statement:
For it was fitting for us to have such a high priest, holy, innocent, undefiled, separated from sinners and exalted above the heavens; who does not need daily, like those high priests, to offer up sacrifices, first for His own sins and then for the sins of the people, because this He did once for all when He offered up Himself. For the Law appoints men as high priests who are weak, but the word of the oath, which came after the Law, appoints a Son, made perfect forever.
There is only one "making of the Son" that happened at His birth.
Does not the Scriptures state that "While WE were yet sinners..." and again, "... He first loved us..."
Therefore your statement of God not loving His only begotten Son even at the Cross is wrong because:
1) As the Scriptures shown above declare, God does love sinners.
2) That some make their way to hell is not a lack of love on his part.
3) The statement "why have You forsaken Me" is not a statement of the wrath, rather the demand of distance, of separation from the imputed sin, the very reason why He had to appear before the Father, and authority to take the Scroll. The statement was earthly evidence of the depth of the deed, and the appeasement provided.
4) The wrath of God is never unjust, and never revenge. Rather it is holy, and brings Him glory and honor.
5) God's love did not forsake His son, for God cannot forsake Himself. The trinity has never been separated nor unloving to each person of that trinity.
There are other statements that can be made, but this is enough for now.