Maybe the desires of God that need intercession of a mediator are actually opposite of what we usually have assumed. Maybe Jesus is an intercessor because of His unique position as the only human being who fully understands and has experienced th “wrath” of God. Once we understand clearly that God's wrath is actually God's overwhelming passionate love that is lethal when exposed to sin, it becomes a little clearer why we need an intercessor.
Jesus may be pleading with God to restrain Himself from revealing more of His passion than we are capable of surviving. The very thing that we need to draw us to God and toward repentance – a revelation of His heart of infinite love – is also the very same thing that creates hell for us when encountered under the lying filters of sin. “Through the Lord's mercies we are not consumed, because His compassions fail not.” (Lam. 3:22)