Don't get me wrong, the Christian life is a process, but technically, theologians would call that "sanctification", (growing in holiness to be more like Christ) not "being born again".
Being born again is a one-time event that happens, and then it's done. It isn't a long, drawn out process, the way sanctification is. Here are some passages that speak of the new birth:
Joh 3:3-8
(3) Jesus answered him, "Truly, truly, I say to you, unless one is born again he cannot see the kingdom of God."
(4) Nicodemus said to him, "How can a man be born when he is old? Can he enter a second time into his mother's womb and be born?"
(5) Jesus answered, "Truly, truly, I say to you, unless one is born of water and the Spirit, he cannot enter the kingdom of God.
(6) That which is born of the flesh is flesh, and that which is born of the Spirit is spirit.
(7) Do not marvel that I said to you, 'You must be born again.'
(8) The wind blows where it wishes, and you hear its sound, but you do not know where it comes from or where it goes. So it is with everyone who is born of the Spirit."
Eph 2:1-5
(1) And you were dead in the trespasses and sins
(2) in which you once walked, following the course of this world, following the prince of the power of the air, the spirit that is now at work in the sons of disobedience--
(3) among whom we all once lived in the passions of our flesh, carrying out the desires of the body and the mind, and were by nature children of wrath, like the rest of mankind.
(4) But God, being rich in mercy, because of the great love with which he loved us,
(5) even when we were dead in our trespasses, made us alive together with Christ--by grace you have been saved--
1Pe 1:3 Blessed be the God and Father of our Lord Jesus Christ! According to his great mercy, he has caused us to be born again to a living hope through the resurrection of Jesus Christ from the dead,
In none of these passages could a read conclude that the new birth is a process that you experience, but rather, it happens to you, and then it's done. Take the Eph 2 passage for example, Paul tells us that we were dead, then God made us alive. You wouldn't conclude that God is "slowly making us alive, over time, via a process". No, resurrection simply happens at an instant, and it's done with. You are now alive.
Anyways, I'm not sure what benefit there is from understanding the new birth as a process. But it seems that there is great benefit in understanding something the way the Bible understands it!