I have to admit ps, you do make me laugh at times and this is one of them. So if I take your Rock Hudson example and said for example my real name is Jack and then I said my neighbors name is also Jack would that make us the same person? Of course this is not a good example so let me try this.
It says at John 1:1, In the beginning was the Word, and the Word was "WITH" God, and the Word was God." Now if you read the context of the first chapter the Word/Logos" is identified as Jesus Christ. No bear with me here.
John 1:1 says, "In the beginning." Genesis 1:1 also says "In the beginning God created etc" Now, both verses start out with the same three words and I'm pretty sure you don't know the difference between the three words at Genesis 1:1 and John 1:1. The main though in Genesis 1:1 is on WHAT HAPPENED "in the beginning. At John 1:1 the emphasis is on WHO EXISTED in the beginning.
So the point is the fact that Jesus Christ who is the "Word/Logos" existed BEFORE the beginning of Genesis 1:1. In other words, the Apostle John is telling us that the person of Jesus Christ was 'WITH" God in the beginning and is God." And John 1:3 says, "All things came into being by Him/Jesus Christ, and apart from Him (Or without Him) nothing came into being that has come into being."
This has nothing to do with "Names or Authority." What about God the Father and God the Holy Spirit? God in His infinite wisdom chose to manifest Himself in terms of a Father and Son relationship. This is how He commnicated to us in way that we would understand. It says at Hebrews 1:5, "I will be a Father to Him and He will be a Son to Me." At Hebrews 1:8 God the Father says to the Son, "Thy throne O God is forever and ever." Then at vs10 the Father says, "Thou Lord, in the beginning didst lay the foundation of the earth, And the heavens are the works of Thine hands."
Going further into Hebrews at chapter 10 vs5, "Sacrifice and offering Thou hast not desired, But a body Thou hast prepared for Me." No matter how you slice it ps, you have three Persons in the Godhead that are all identified as God. In fact, the word "Godhead" simply means "Deity." So do us all a favor and start to "THINK."
PS: And btw, instead of trying to look for "loopholes" or mistakes in what I stated, reason it out and think about it real hard first.
IN GOD THE SON,
bluto