God the Father and God the Son have been of the same spirit since the beginning of time. (Nicene Creed: ... begotten not made, consubstantial with the Father). Likewise, they will be until the end of time and all times.
They are not exactly the same, but are very much the same. In the same kind of way a husband and wife become the same, or are unified in guiding their child to become themselves in spite of worldly influence. When God the Father gave the world His only begotten son, He did so that some would listen and believe and trade the ways of the world for perfection in Him through His son, to not ever "perish, but have everlasting life" (John 3:16).
Through God the Son, it is possible to be perfect as the Father in Heaven is perfect. "Be you therefore perfect as your Father in Heaven is perfect," "No one comes to the Father except through me" (Matthew 5:48, John 14:6). A perfect parent will perfectly instruct a perfect child who will never require punishment. Prior to His brutal treatment by a world who chose wickedness over perfection, the son of God looks to the Father and says, "Father please, let this pass me by that I might not suffer this horrible agony and humiliation, but only if it is your will to intervene and allow me to escape it" (Matthew 26:39). Neither the church nor the bible give much insight into the will of the Father here, or why he would allow something so horrible to happen. God the Son, as one with the Father, had earlier promised to "rebuild the temple in three days" (John 2:19) which also made good on a prophecy that still needed to be fulfilled.
I think it is safe to believe that the Son is never disobedient to the Father and therefore can never been a candidate for punishment. I think it is also safe to believe that the father would have preferred that the world had been obedient from the beginning and not rejected Him or His son, but was willing to pay the ultimate price to save a few.