Read the verses again, brightfame52:
John 1:
10 He was in the world, and the world was made by him, and the world knew him not.
11 He came unto his own, and his own received him not.
12 But as many as received him, to them gave he power to become the sons of God, even to them that believe on his name:
13 Which were born, not of blood, nor of the will of the flesh, nor of the will of man, but of God.
vs 12 – first they received Him ... actively laid hold on Him (the Lord Jesus Christ);
vs 12 – then they are given power to become sons of God
Note that the verses do not say they "had been born of God" before they "received/believed on Christ" as you erroneously claim.
What John 1:12-13 tells us is that when the Lord Jesus Christ came to His own (speaking of when He lived in His physical body) those who "actively [laid] hold of to take or receive" the Lord Jesus Christ were given power to become the sons of God.
Please note the verse does not state that those who "actively lay hold of to take or receive" the Lord Jesus Christ are given "power to believe" as you erroneously claim.
Those who "actively lay hold of to take or receive" are given power to become the sons of God.
So your conclusion concerning John 1:12-13 is faulty and you have yet to prove that "a person is born again prior to believing the Gospel of Christ"
Scripture does not teach "that a person is born again prior to believing the Gospel of Christ":
Ephesians 1:13 In whom ye also trusted, after that ye heard the word of truth, the gospel of your salvation: in whom also after that ye believed, ye were sealed with that holy Spirit of promise
After you heard, you believed.
After you believed, you were sealed with that holy Spirit of promise (born again)
.