Being born again is not a process. It is an event. It is the moment when one no longer is a non-Christian, doomed to hell, but a new person, a Christian, destined to heaven.
It is both. The first step on a journey is an event. The journey is a process. Nowhere does scripture recommend we remain at the first step on the journey of being born again. Quite the opposite. As Peter says, we who are new-born are to "grow into salvation" 1 Peter 2:2
If you think it is a process, you are depending upon your good works to get to heaven.
No, we are depending on God's grace not to leave us as abandoned children on the doorstep but to nurture us and develop in us the fruits of the spirit and the qualities of eternal life so that (as Paul says to Timothy 2 Tim. 3: 17) we may be "equipped for every good work". And again Paul reminds the Ephesians (2:10), we are "God's workmanship, created in Christ Jesus to do good works, which God prepared in advance for us to do."
This is a wonderful promise. God has actually prepared good works for us to do and created us in Christ Jesus to do them.
How can doing the good works prepared for us to do be confused with relying on good works for salvation? It is rather growing in Christ as all who are new-born are expected to do.
Refusing to do the good works God prepared for us to do is refusing to fulfill God's purpose in electing us to be born again. It is trying to claim salvation while not letting salvation work in you. It is trying to remain forever an unripe fruit, dying on the vine instead of fulfilling its purpose.
NOTE: The Greek and Hebrew terms for "salvation" also mean "healing" and healing is a process. In the Aramaic that Jesus spoke and in NT Greek, the words that mean "Your faith has saved you" and "Your faith has healed you" are identical.
So to be born again implies being healed, being made whole after being broken. Like broken tools, God mends us so that we can do what we have been created to do, namely, the good works he has prepared in advance for us to do.
The good works we do are not a means to salvation, but evidence that the process of salvation is at work in us. So it is quite erroneous to accuse us of relying on good works to earn salvation.
Rather, like James, we challenge ourselves and all who claim Christ as their Redeemer to witness to the vitality of their faith through their works. In this way we fulfill the command of Christ to not only hear his words but to do them.