As time goes on, Naruto could become angry. He might feel betrayed by his family's lack of attention. This anger could fuel his determination to become stronger on his own, without relying on his family. He may start to train harder and focus on achieving his own goals, using the rejection as motivation.
He might feel very sad and lonely at first. Naruto has always craved family love and acceptance, so being ignored by them would be a huge blow.
Naruto might initially feel sad and confused. He could try to prove himself to his friends by working hard on his ninja skills. For example, he might train extra hours to show his friends that he is worthy of their attention.
At the start, Naruto might be in shock. He can't believe that his own family would do such a thing. After the initial shock wears off, he would probably be determined to show them that they made a mistake. He would go on adventures, learn new skills, and meet new people. Through these experiences, he would become more independent and self - reliant. And when the time is right, he might try to confront his family, not in a vengeful way, but to show them that he has changed and that their banishment was unjust.
Eventually, Naruto could grow resentful. If the ignoring persists for a long time, he might start to think that Kakashi doesn't care about him at all. This could change Naruto's attitude towards Kakashi and might even make him more rebellious in his training or actions. However, deep down, he still probably hopes for Kakashi's recognition and approval.
In this kind of fanfiction, Naruto may also feel a great deal of sadness and confusion at first. However, as time goes on, he could use that pain as motivation. He might think that if his family won't recognize him, he'll make a name for himself in the ninja world in a way that they can't ignore. He could start taking on dangerous missions, not just for the village but also to show his family what they're missing out on.
He might become withdrawn. Naruto, who was always so full of life and energy, could start to keep to himself more. He might stop seeking his family's approval and focus on his own path, whether it's through training or making new friends outside of the family.
One possible reason could be that his newfound 'godlike' powers make his family feel estranged. They might not understand his sudden transformation and the magnitude of his power, which creates a sense of fear or discomfort, leading them to ignore him.
Naruto could also feel a bit sad and lonely. He's used to being an outcast in the village, but he thought Team 7 would be different. So he might start to question himself. Maybe he'd start training on his own more, trying to become stronger so that they would have to notice him. And he might also try to find other friends outside of Team 7 to fill the void.
In such a scenario, Naruto might initially feel sad and confused. But being Naruto, he could try to prove himself. He would focus on his ninja training even more, aiming to show his family that he is worthy of their attention through his strength and achievements.
He would be overjoyed. Naruto has always desired a family, so seeing them again would make him extremely happy.