Are you suggesting that a bastard can inherit eternal life?
YES! Bastards are just the type of person Jesus is seeking.
But I guess what you meant to ask was - is someone who is actively living in sin someone who can inherit eternal life (cuz if you think about it, we're all bastards before salvation, born of sin).
To that I would say - if the New Man does not manifest itself, it may be a cause to question:
A) Did I disciple that believer correctly?
B) Do they actually understand the gospel?
C) Is there something going on in their inner person that is akin to a living hell that is basically God's spirit being grieved that He is not operating in Kingdom principles.
We are too quick to call someone UNSAVED ... but I would not go so far as to say that a person's life is not CHANGED by grace. Just because the alleged rapper was constantly taking drugs or a man is constantly looking at porn does not mean they are not grieved; I know some who cry themselves to sleep at night because their walk is not matching their actions.