The spiritual seperation of Jesus was essential as it would bring those who choose to see God.
But before a person opens his spiritual eye and sees God, he must be emotionally and mentally stable. One cannot become a christian because he is mentally and emotionally vurnerable and needs a support.
Jesus physical death pays for our shame, guilt and emotional baggage that we carry around and prevents us from coming to god's presence> The same emotional baggages prevents us from loving and receiving love of others.
Jesus died an accursed death. The physical death of Jesus helps us to come boldly before Gods presence. We no longer worry about how bad or incapable we are.
If Jesus death would have been only spiritual, there would have been still our guilt and shame that prevents us from coming into a fuller life. But He took our shame sorrow and guilt also to the cross.