The correct conclusion is that both Jesus and the Father are God, and they both manifested in the flesh.
The verse that I alluded to in my previous response was this one:
John 1
14And
the Word was made flesh, and dwelt among us, (and we beheld his glory, the glory as of the only begotten of the Father,) full of grace and truth.
This Word that was made flesh is speaking specifically about Jesus, and we're told earlier, in this same chapter of John's gospel, that the Word was both with God and was God.
John 1
1In the beginning was the Word, and
the Word was with God, and the Word was God.
2The same was in the beginning with God.
3All things were made by him; and without him was not any thing made that was made.
Contextually, Jesus is the Word who was with God, or with the one that we call God the Father, AND he was God. In fact, he's the God in Genesis chapter 1 who created everything, even as John stated here. Jesus is called the Word elsewhere in John's writings as well.
1 John 1
1That which was from the beginning, which we have heard, which we have seen with our eyes, which we have looked upon, and our hands have handled, of
the Word of life;
2(For the life was manifested, and we have seen
it, and bear witness, and shew unto you that eternal life, which was with the Father, and was manifested unto us)
1 John 5
7For there are three that bear record in heaven, the Father,
the Word, and the Holy Ghost: and these three are one.
Revelation 19
11And I saw heaven opened, and behold a white horse; and he that sat upon him
was called Faithful and True, and in righteousness he doth judge and make war.
12His eyes
were as a flame of fire, and on his head
were many crowns; and he had a name written, that no man knew, but he himself.
13And he
was clothed with a vesture dipped in blood:
and his name is called The Word of God.
If you put these verses together, then you should easily be able to see that Jesus is the Word who is God and who was manifested in the flesh in John 1:14. In this sense, God was manifested in the flesh (1 Timothy 3:16) in that Jesus himself is God.
At the same time, and to your point, it could rightly be said that God the Father was manifested in the flesh in that Jesus, in his humanity, relied on his Father in him who was doing the works that he did.
Again, it's not an either/or situation. Jesus is BOTH God and man. As God, Jesus was God manifested in the flesh. As a man, God the Father was manifested in the flesh in Jesus' humanity.