I don't disagree that they work together, but I disagree with your conclusion or statement with supporting evidence, that The Son is God. This is because the evidence does not suffice.
The bible says he is God, he said he is God...I don't know how you have decided the evidence doesn't suffice.
Even the Father said the Son is God:
Hebrews 1:1
God, who at sundry times and in divers manners spake in time past unto the fathers by the prophets,
Hebrews 1:2 Hath in these last days spoken unto us
by his Son, whom he hath appointed heir of all things, by whom also he made the worlds;
Hebrews 1:3 Who being the brightness of his glory, and the express image of his person, and upholding all things by the word of his power, when he had by himself purged our sins, sat down on the right hand of the Majesty on high;
Hebrews 1:4 Being made so much better than the angels, as he hath by inheritance obtained a more excellent name than they.
Hebrews 1:5 For unto which of the angels said he at any time,
Thou art my Son, this day have I begotten thee? And again, I will be to him a Father, and he shall be to me a Son?
Hebrews 1:6 And again, when he bringeth in the firstbegotten into the world, he saith, And
let all the angels of God worship him.
Hebrews 1:7 And of the angels he saith, Who maketh his angels spirits, and his ministers a flame of fire.
Hebrews 1:8
But unto the Son he saith, Thy throne, O God, is for ever and ever: a sceptre of righteousness is the sceptre of thy kingdom.
Paul teaches that the Father identified the Son as God.