Water as Torah
The real meaning of Torah is more than just the written word. It is everything that God has revealed. You are proper to identify the mist as Christ. He is the living Torah. In it's form in Genesis the primary metaphor is that of General revelation. All of creation testifies.. Ro 1:20.
The word for mist אד is a pun to testify עד. We might go so far as to pair them and say that hte mist is the spiritual testimony... that which is written on our hearts and in our DNA, and the other is the physical testimony. The word also means 'again', so when Jesus said "You must be born again" he also said, "You must be born to testify".
In it's later form we see that it rains on the just and the unjust. The generalized revelation takes on a more particular form.
Mt 5:45 That ye may be the children of your Father which is in heaven: for he maketh his sun to rise on the evil and on the good, and sendeth rain on the just and on the unjust.
(This passage refers to Christ as the just, and us as the unjust as referred to in 1Pe 3:18)
The water is the whole living Torah and includes holiness and love. Consider how to make wine from water. Wine represents mercy. To obtain it from water, you must remove judgement. The axe represents judgement. Elisha as a type of Christ removes judgement from the word, the same as Jesus prepared himself by removing judgement from his heart and choosing to provide grace. He turned water into wine.
2Ki 6:5 But as one was felling a beam, the axe head fell into the water: and he cried, and said, Alas, master! for it was borrowed. 2Ki 6:6 And the man of God said, Where fell it? And he shewed him the place. And he cut down a stick, and cast [it] in thither; and the iron did swim.
Like the fire, water can destroy or give life. Fire and water are two representations of the same thing. Fire represents the refining by the Spirit, and the Water is the purification by the Word/Christ.