Noting the repetitious stating of this fact in Rev 3:12, it could hardly be construed as a wayward interpretive translation. Or maybe one could explain it away with fancy theology and by using a traditional belief in the 'Jesus who is God construct' by focussing on the favourite proof-texts that support the God/man Jesus, OR, simply ignoring this passage.
Seeing that Jesus is now ascended and exalted above all others is a strong message that Jesus cannot be God if he still has a God - the same God as he said he had to Mary before his ascension.
Jesus said, “Do not hold on to me, for I have not yet ascended to the Father. Go instead to my brothers and tell them, ‘I am ascending to my Father and your Father, to my God and your God.’” John 20:17
The bible is clear about who God is. He says He is one. Yet somehow, we have Him also being three, without clear biblical mandate, just conjecture and post-Apostolic doctrine.
The bible is clear about when Jesus originated. The Gospels tell us about Mary and her miraculous conception by the power of God over her.
…it seemed fitting to me as well, having investigated everything carefully from the beginning, to write it out for you in an orderly sequence, most excellent Theophilus; 4 so that you may know the exact truth about the things you have been taught Luke 1:3 (excerpt from here)
Of course Jesus has a God - he is but a man - 'made like us in every respect' Heb 2:17
This man who lived without sin, though tempted severely (which God cannot be), was raised from the dead by his God (in over 20 places, and a few that mention the Father raised him, so he could not have raised himself as some purport or the bible must be telling lies) now sits next to God Acts 2:33.
Yes, you are correct, having a Jesus/God who sits next to God and has a God, even when ascended, exalted, made heir (Heb 1) to all God's creation, is a very strange idea that scripture does not support. Rev 3:12 is but another scripture that supports many others in describing and explaining with perfect clarity who Jesus is - and who he is not!
While it is perfectly acceptable to call Jesus a god, he is not THE God who created all life. God gave Jesus the life he now has - an immortal life that he did not have before. Satan is called the god of this world, Jesus certainly is the god of the new age, the new world that God made everything for, yet he is under the true God and subordinate in every possible sense.
for us there is but one God, the Father, from whom all things came and for whom we live; and there is but one Lord, Jesus Christ, through whom all things came and through whom we live. 1Cor 8:6