So you belive the Spirit of Elijah was his own spirit and power?
If John come in the Spirit and power of Elijah as the law and the prophets prophesied until John (being the Elijah who was to come) Elisha recieved a double portion of the same Spirit did he not? And if so when Jesus asked who do men say that I am Mat 16:14 And they said, Some say that thou art John the Baptist: some, Elias (Elijah); and others, Jeremias, or one of the prophets.
Or more clearly here
Luke 9:19 John the Baptist; but some say, Elias; and others say, that one of the old prophets is risen again.
However these answers were what men in their wisdom said
Luke 9:20 He said unto them, But whom say ye that I am? Peter answering said, The Christ of God.
And in
Mat 16:17 And Jesus answered and said unto him, Blessed art thou, Simon Barjona: for flesh and blood hath not revealed it unto thee, but my Father which is in heaven.
Unless ofcourse The Father (as said by Jesus, who is the wisdom of God) is promoting the wrong answers given by men (in the above) and you are wiser then Christ?