No, the father gave him power over all flesh, and he said he could pray to the father to send him many Angels.
But now, he is set above all in heaven and in earth, because God had put him in authority over everything, but still, the head of Christ is God.
As you say Jesus could have abandoned the cross, but in doing so he would have been disobedient, and yes, you are right. But disobedient to whom? Yes to God, so if Jesus is the father and he is God, why the obedience? Surely he doesn't have to be obedient to himself? No, he is obedient to his God and father, the one who's will be does always, and the one who has set him at his right hand and given him authority over the heavens and the earth. So Jesus is not the father, nor is he the Almighty God. He is the Christ, the son of the living God and God has given him power over all.
Ephesians 1
That the God of our Lord Jesus Christ, the Father of glory, may give unto you the spirit of wisdom and revelation in the knowledge of him: The eyes of your understanding being enlightened; that ye may know what is the hope of his calling, and what the riches of the glory of his inheritance in the saints, And what is the exceeding greatness of his power to us-ward who believe, according to the working of his mighty power, Which he wrought in Christ, when he raised him from the dead, and set him at his own right hand in the heavenly places,
Far above all principality, and power, and might, and dominion, and every name that is named, not only in this world, but also in that which is to come: And hath put all things under his feet, and gave him to be the head over all things to the church, Which is his body, the fulness of him that filleth all in all.