What you raise is an important issue in Christian theology. Both the birth stories and the death and resurrection stories in the gospels put a great emphasis on the full humanity of Jesus.
Starting with the birth, the gospel accounts are at pains to show us that Jesus was born of a woman just as a human baby would be, even if he was conceived by the Holy Spirit. Jesus is depicted as an ordinary human baby, dependent on his parents for nurturance. In the Bible, he is not, as in the Quran, spouting wisdom at a few days old.
The orthodox gospel accounts also emphasize the fully human nature of Jesus's death. By all accounts, he suffered greatly on the cross. He was in pain and anguish and cried out to God, asking why he was forsaken. This is theologically important, because it shows he was fully human. A different account of the story exists. In this gnostic version, Jesus did not suffer on the cross—because he was a God, he was able to leave his human body. This version has been roundly rejected by Christianity, which is why the Nicene Creed emphasizes that Jesus suffered on the cross. Jesus's suffering is foundational to Christian theology.
Jesus was both fully divine and fully human. As we become more fully human and humane by helping and forgiving others, we become closer to the image of Christ and more fully divine. This is a mystery, but one orthodox Christianity insists on the existence of. The message is that we humans can become like Christ because he, too, was fully human. He did what he did with the same limitations we have.
God the Father shows his presence indirectly through these events. He is not there in bodily form when Jesus is born, and he is not there lifting Jesus off of the cross.