Abuse of Termonology Sadly what you are calling the Trinity is not the Trinity at all but instead an alternative oneness perspective- denying that the Father, the Son and the Holy Spirit are three persons and the one true God.
Jesus nowhere says that "I am the Father". On the contrary he says Joh_17:5 And now, O Father, glorify thou me with thine own self with the glory which I had with thee before the world was.
Jesus was a separate person yet he was God "the Word was with God and the Word was God". There we have two persons yet one God. The Trinity.