Correction- what I said is what most of the Christians I have met personally believe. I know all about Constantine- my mom is convinced he edited scripture to fit his agenda (Don't know if there is any evidence of that, I never heard anyone else say that, my mom got a degree in Anthropology).
And you're right, Jesus wasn't the same as the Father while He was walking around- if He was He would not have called Him Father.
You can find the role of Constantine at the council of Nicea as recorded by Eusebius on the net.
Eusebius was the one that Constantine had create the first Bibles. Eusebius disagreed with the inclusion of homoousios and Constantine exiled him for this.
You can find where Constantine says to Eusebius .. "if you would only accept homoousios"
After exile Eusebius finally agree's to sign the document.
I completely agree with your comments in relation to how Jesus viewed things. Jesus always refer's to the father as someone other than himself.
Even Bible dictionaries state that Jesus never directly claimed to be The Father.
It makes no sense that Jesus would call out to himself while on the cross .. "Father why have you forsaken me"
It makes no sense that the Roman Justice system would find no fault in Jesus unless he denied being God. 100% they would have asked him to clarify his position while under interrogation. It was a capital offense to make such a claim in Roman times as you would be usurping Ceasar.