I don't accept YOUR interpretation that God the Father was the male parent of Jesus.
First of all, the gospels, reveal that "the Child who has been conceived in her is of the Holy Spirit." Matthew 1:20 According to your logic, this would make the Holy Spirit the "male" offspring of Jesus, not God the Father.
Second, while Jesus' birth narrative makes him unique, this is not why John referred to Jesus as the "monogenes" son. The term "son" refers to God's word that he would provide David an offspring that would rule on his throne forever. Jesus is the unique son because God the father has made it possible for Jesus to literally fulfill the Davidic Covenant. Thus, descent from David is an important qualification for the Messiah.
I am taking my cues from Paul's epistle to the Romans. In his opening paragraph, Paul asserts his belief that Jesus is the son whom the prophets predicted. Paul asserts that Jesus is "his son" on the basis that Jesus is both qualified "according to the flesh" and he is qualified according to the Spirit of Holiness. In the following paragraph we come to understand that Jesus is qualified to be the Messiah on two counts.
Romans 1:1-6
Paul, a bond-servant of Christ Jesus, called as an apostle, set apart for the gospel of God, which He promised beforehand through His prophets in the holy Scriptures, concerning His Son, who was born of a descendant of David according to the flesh, who was declared the Son of God with power by the resurrection from the dead, according to the Spirit of holiness, Jesus Christ our Lord, through whom we have received grace and apostleship to bring about the obedience of faith among all the Gentiles for His name’s sake, among whom you also are the called of Jesus Christ;
Qualifications:
1. born of a descendant of David
2. declared "the Son of God" with power by the resurrection from the dead.
Jesus is a "Son" by virtue of the fact that he is a son of David: he was born a descendant of David. But this can be said of all the kings of Israel, starting with Solomon. What made Jesus a unique son, was the Father's declaration: "This is my son" with power by the resurrection from the dead. It's the power of an immortal life that qualifies Jesus to sit on the throne of David forever.