My point was that God is never partially God, but always perfect, complete God. This is suggestively implied, in my opinion, in Mat 3:16, where the Holy Spirit is seen descending on Jesus after he emerges from the baptismal waters.
Christ's divine nature is complete, perfect God whis at no time without the Father or the Spirit.
In Mat 4:1 it says that fllowing His paritsm and the HS descending on Him, Jesus was ledleading and Jesus following to be tempted of the devil.
Why would He be led by none other than the HS to be tempted? First, I propose that the Word was with the Spirit all the time, and with the Father, and that He didn't need to be led by anyone as if lacking in ability to lead himself, why the temptation when God knew that it would not work.
I think I can agree with where you're coming from here. "I and the Father are one". Perhaps part of the reason for the temptation in the desert was to be instructional to us. I certainly learned how better to deal with temptation by focusing on scripture, as Jesus did. It also helped prove that Jesus understood us completely:
Heb 4:15 : For we do not have a high priest who is unable to sympathize with our weaknesses, but we have one who has been tempted in every way, just as we are — yet was without sin.