Here is a slight difference, for the scriptures declare that the natural man (a man dwelling in the fleshly impulses and who has no regard for holiness, does not receive that which is spiritual, nor does such a one even have the will or desire to attend to such matters.
John 1 clearly states that a person does not become a child of God, nor given the authority, power, ability to become a child of God by the will.
But, John 1 says it is the will of God that a sinner become a child of God by faith.
Here is a truth:
6 But the righteousness which is of faith speaketh on this wise, Say not in thine heart, Who shall ascend into heaven? (that is, to bring Christ down from above
7 Or, Who shall descend into the deep? (that is, to bring up Christ again from the dead.)
8 But what saith it? The word is nigh thee, even in thy mouth, and in thy heart: that is, the word of faith, which we preach;
9 That if thou shalt confess with thy mouth the Lord Jesus, and shalt believe in thine heart that God hath raised him from the dead, thou shalt be saved.
10 For with the heart man believeth unto righteousness; and with the mouth confession is made unto salvation.
All that the passage you are referring to in John 1 means is the above. Salvation is God's idea and it is his plan. How men receive it is by faith. That is God's idea as well. Salvation is defined in scripture as receiving the Spirit of Christ into the heart by faith in what God says about him. The previous verse in John 1 says that life was in Jesus and he poured out his life, his Spirit, on the cross
John 19:34
But one of the soldiers with a spear pierced his side, and forthwith came there out blood and water.
and God sends his life into the world from heaven 50 days after the resurrection to the nation of Israel. It, he, must be in a man for him to live. The analogy is water that is required by every living thing on the earth to survive. Water is everywhere on the earth in such abundance that every one and every living entity can drink, but no matter how much there is in the world, it must be ingested if it brings life.
We have 4000 years of recorded history that proves John 1:14. Nobody was saved in the OT as the NT describes salvation. That is not to say that men in the OT were not justified by their faith in what God said to them, but no one had their sins washed away and they did not have eternal life as God defines eternal life, the Spirit of Christ and of God. So, with that in mind let us review John 1.
4 In him was life; and the life was the light of men.
7 The same came for a witness, to bear witness of the Light, that all men through him might believe. ( How many men? - we must have a preacher - it is the way of God)
9 That was the true Light, which lighteth (present tense) every man that cometh into the world. (how many men? - world = kosmos)
11 He came unto his own (Israel), and his own received him not. (history proves this)
12 But as many as received him (past tense), to them gave he power to become the sons of God, even to them that believe on his name:
This is written in retrospect. It is past tense verbs because John wrote this many years after he had observed the entire ministry of Jesus Christ and the inclusion and salvation of gentiles as well. He looked back over the whole beginning of the gospel of Jesus Christ and he is the only apostle who did. This is the wisdom of God.
I believe there is not a reformed believer alive today who will believe that the only way a man can have eternal life is to have Jesus Christ living in them by exercising his own will to receive him by faith after hearing about him. Jesus lives in us now in the same person as lived, and lives, in his body, the Spirit of God. This is the true God and eternal life. It is what the NT is all about. Sinners must repent of their sins and receive him by faith. God does not tell us himself about this wonderful salvation but has commissioned men who have been saved to tell other men about his gospel. Those who believe it will be given the Spirit, who is Jesus Christ and God the Father, and this puts the trinity in us and because God is forming a body for Jesus Christ in this age, it puts us in Christ and we become one with God. Read Eph 4 now.
Ephesians 3:17
That Christ may dwell in your hearts by faith; that ye, being rooted and grounded in love,
Rom 8:11 But if the Spirit of him that raised up Jesus from the dead dwell in you, he that raised up Christ from the dead shall also quicken your mortal bodies by his Spirit that dwelleth in you.
16 And what agreement hath the temple of God with idols? for ye are the temple of the living God; as God hath said, I will dwell in them, and walk in them; and I will be their God, and they shall be my people.
17 Wherefore come out from among them, and be ye separate, saith the Lord, and touch not the unclean thing; and I will receive you.
18 And will be a Father unto you, and ye shall be my sons and daughters, saith the Lord Almighty.
There is the trinity dwelling in the body of the believer.
1 Corinthians 3:16
Know ye not that ye are the temple of God, and that the Spirit of God dwelleth in you?
1 Corinthians 3:17
If any man defile the temple of God, him shall God destroy; for the temple of God is holy, which temple ye are.
13 For by one Spirit are we all baptized into one body, whether we be Jews or Gentiles, whether we be bond or free; and have been all made to drink into one Spirit.
Above is the trinity in the believer, making us one with him.
1 John 5:20
And we know that the Son of God is come, and hath given us an understanding, that we may know him that is true, and we are in him that is true, even in his Son Jesus Christ. This is the true God, and eternal life.
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Back to the water.
John 7:37 In the last day, that great day of the feast, Jesus stood and cried, saying, If any man thirst, let him come unto me, and drink.
38 He that believeth on me, as the scripture hath said, out of his belly shall flow rivers of living water.
39 (But this spake he of the Spirit, which they that believe on him should receive: for the Holy Ghost was not yet given; because that Jesus was not yet glorified)
One must drink the water but who may drink?
17 And the Spirit and the bride say, Come. And let him that heareth say, Come. And let him that is athirst come. And whosoever will, let him take the water of life freely.
No man could get saved until God opened the fountain, but then he explains who may drink. It is whosoever
WILL
Hallelujah and praise our God. This lets me in and it lets you in too, if you believe.