Omnipotence has limits. For example, God cannot create a greater God. Or a thousand greater Gods. Therein lies the paradox of omnipotence.
Jesus was wholly God, and wholly Man. This is a mystery, yes. The mortal mind has trouble grasping it... just as the mortal mind has trouble grasping eternity, omnipotence, and omniscience.
I have a theory; it is just a personal working hypothesis and not necessarily correct or scriptural. My theory is that God is a multi-dimensional being. That He exists in several dimensions beyond the 3 of space and one of time that we commonly experience.
He told Moses that mortal man could not look on Him in full and live, but that he would show him only "the shadow of his hinder parts" and Moses was so overwhelmed he could barely survive the experience.
In the same sense that a 3D being could only exist in a 2D world as a "slice" of himself at one time, I think God, a multidimensional being, can normally only interact with our reality in a sort of "partitioned mode" (ie a little bit at a time) lest our reality be overturned and destroyed.
It is thus that we perceive the Trinity or three persona of God, because our mortal minds cannot grasp the whole.
Jesus was wholly man in that he was a spirit inhabiting a human body, with human limits as far as his own will and well-being were concerned, but his spirit was wholly God and his blood was divine because God was the father of his body as well. He was "as much of God as God could put into the world" without it being too much for us to deal with.
Jesus did no miracles for himself, only for others. Lucifer tried to tempt him to act in his own interests, which would have broken the "wholly man" theme of his incarnation, but Jesus resisted him. Jesus could have prevented his crucifixion by exercising his Godly powers if he has so willed, but living a human life and dying a human death was part of his mission, which was to create the necessary bridge between holy God and sin-tainted Man.
So he allowed it to happen, and suffered as a man suffers.... but unlike a man, He overcame death and was bodily resurrected, bore witness forty days and then ascended into Heaven to complete the bridge between Holy God and sinful Mankind.
I know, I know... you don't believe a word of it. That's fine; I didn't write it in any anticipation that you would.
Had something to say; said it.