In Trinitarian doctrine, God the Father is one person, and the Holy Spirit is another person separate from the Father. In Trinitarian doctrine, the Father is NOT the Holy Spirit. And in Trinitarian doctrine, the Holy Spirit is not Jesus' Father. Rather, God the Father is Jesus' Father.
But in the Bible we read that Jesus was conceived by the Holy Spirit:
Now the birth of Jesus Christ was as follows: when His mother Mary had been betrothed to Joseph, before they came together she was found to be with child out of the Holy Spirit. (Matthew 1:18).
But when he had considered this, behold, an angel of the Lord appeared to him in a dream, saying, "Joseph, son of David, do not be afraid to take Mary as your wife; for the child who has been begotten in her is out of the Holy Spirit. (Matthew 1:20).
She had begotten a son; and he (Joseph) called his name Jesus. (Matthew 1:25).
The Holy Spirit will come upon you, and the power of the Most High will overshadow you; and for that reason the holy child to be begotten shall be called the Son of God. (Luke 1:35).
So just who is Jesus' Father. According to the doctrine of the Trinity, the Holy Spirit and God the Father are two separate persons. So who is Jesus' Father? The person who conceived Jesus - the Holy Spirit? Or someone who didn't conceive Jesus - the Father?
If we remember that God is Spirit and understand the Holy Spirit here to simply refer to God the Father's own spirit, the Holy Spirit, the above verses make complete sense. But if the Holy Spirit is a separate person from the Father they make no sense whatsoever. Indeed, we are told that Jesus will be the son of God the Father BECAUSE the Holy Spirit conceived Jesus in the Virgin Mary. How can it possibly make sense to say that the reason God the Father is Jesus' Father is because another person, the Holy Spirit conceived Jesus?
A Father of a person is the one who conceives that person. But here Trinitarians would have us believe Jesus was conceived by one person but another person altogether is his Father. Jesus was begotten by the third person of the Trinity but the first person of the Trinity turns out to be his father not the third. And of course they make this claim because they have turned the Holy Spirit into a separate third person who is distinct from the Father and have put themselves in this ridiculous situation.
But if we read Luke's words closely we can see that "the Holy Spirit" and "the power of the Most High" are parallel statements and the Holy Spirit is the Spirit of the Holy God, the Father of Jesus Christ. And being honest with these facts, the person who conceived Jesus is the same person who is his Father. That is something which just cannot be the case in Trinitarian doctrine.