I would argue that God didnt "need" to experience temptation. After all, he made us and is omniscient. Could Jesus really sin (note: I think he did sin)? With a god-man nature I would say it is impossible. Being 100%G100%M the 100%G would not permit sin to occur. How could it? If the man part sinned the God part would, by definition, also sin.
He clearly would not be like "us" and therefore is cheating.
The writer of Hebrews claims Jesus is the High Priest but he is not of the correct tribe. Jesus is presumed to be of the tribe of Judah (which is debateable) and therefore could not be of the Aaronic Priesthood.
The Lord said unto my Lord sit at my right hand...the Lord has sworn and will not repent ,Thou art a Priest forever after the order of Melchisedec-