I'm sorry, but the Bible says otherwise.
God =/= Holy Spirit as evidenced by Genesis 1:26:
26 And God said, Let us make man in our image, after our likeness:
How does this verse show God is not the Holy Spirit?
God =/= Jesus as evidence by verses in John 13:
1 Now before the feast of the passover, when Jesus knew that his hour was come that he should depart out of this world unto the Father...
3 Jesus knowing that the Father had given all things into his hands, and that he was come from God, and went to God;
The Son and the Father are distinct, this is true. This only poses a problem for the modalist viewpoint that would say the Father and the Son are just different forms or modes of God. The Trinitarian view is that the Father and Son are distinct Persons, and the Father is the source of the Trinity, begetting the Son and spirating the Holy Spirit. Therefore the Son did come from the Father, and does return to the Father, being the source of the Trinity.
Jesus says in John 8:58 that "before Abraham was, I AM", invoking the name of God.
Jesus is the Word, and the Word was with God and the Word was God. (John 1:1)
Even greater evidence is found in Matthew 19:16-17:
16 And, behold, one came and said unto him, Good Master, what good thing shall I do, that I may have eternal life?
17 And he said unto him, Why callest thou me good? there is none good but one, that is, God: but if thou wilt enter into life, keep the commandments.
Jesus is not saying that He isn't good, but simply the true statement that only God is good. This verse is actually used as a proof of Jesus' divinity, used in conjunction with John 10:11 "I am the
good shepherd: the good shepherd giveth his life for the sheep."
I am afraid that your arguments break down in the face of these verses.
No, the Trinitarian perspective is the only one that actually makes sense of all the verses. Your verses have broken down modalism, not Trinitarianism, which brings together both those verses that show the Son's distinction from the Father, and those that show the Father and the Son are one.