To what extent does the Son submit to the Father? How does that relate to marriage roles?

@LM77, thank you for the comment.

I need to start from the beginning. In 325 the Church ruled that Jesus Christ was God and therefore was in no way subordinate to God the Father. Therefore it is a serious mistake to say that Jesus submitted His Will tot5heWillof the Father, voluntarily or not. It is not a matter of will, it is a matter of Nature.
Subordinate means “lower in rank or position.”
Submit means “accept or yield to a superior force or to the authority or will of another person.”

If Jesus is God, and since there is none higher than God, then Jesus cannot be subordinate to anyone. Jesus is equal to the Father and the Holy Spirit.

Same with submit If Jesus is God, there is no superior force or authority or will for Him to submit to, because Jesus is God.

Submission is very different from Love. Love is sharing with others. Submission is accepting another persons will as one’s own. For us It might be necessary at times, but God cannot do this without ceasing to be God.

As I said before when Jesus said that He did not want to die on the Cross, He was not saying that He did not want humanity to be saved, He was saying that there must be an easier way. However, when He was assured that there was not, He then agreed to go through with it, not for His joy, but for our salvation.

God, the Father, God the Son, and God the Holy Spirit are all front and center in the Crucifixion. It is about the Trinity and nothing else. Jesus is the crucified God and not some Superman, who summitted himself to God. Jesus died for us because He loves us, not because of some future benefit or joy, which God does not need.

John 3:16 (NIV2011)
16 For God so loved the world that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life.

If Jesus Christ is subordinate to God the Father then He is not God. If Jesus Christ is not God then we can not believe in Him. “You shall have no other “gods” before Me.”