He could react with defiance. Naruto has always been a fighter. So, instead of wallowing in self - pity, he might use this as an opportunity to grow even stronger. He might set out on his own journey, away from his family, to master his 'godlike' powers and become a force to be reckoned with. He may also vow to one day return and have his revenge, not in a malicious way, but to show his family that they were wrong to reject him.
Naruto might initially be shocked and hurt. After all, being expelled by his own family is a huge blow. But being 'godlike', he could quickly turn that pain into determination. He might decide to prove his worth and show his family that they made a big mistake.
On the other hand, she could see it as an opportunity for a new start. She might gather her strength and decide to prove herself outside of the pack, or she could try to find a new group or community where she would be more accepted.
He might be really angry at first. He's given so much to the camp, and being kicked out like that without a proper explanation would make him furious. He could storm off, vowing to find out the truth and clear his name.
It could also be related to external forces. Maybe an enemy of the family or the village plants false evidence that makes Naruto seem like a danger. Since he is 'godlike', the family might believe the false accusations more easily, fearing his power, and expel him. Also, there could be a power struggle within the family, and those in power see Naruto's 'godlike' nature as a threat to their authority and use some excuse to kick him out.
Batman could become more of an anti - hero. He might start working against the Justice League's interests, thinking that they have wronged him. He would use his skills and resources to expose any flaws in the League's operations and undermine their public image.
Iruka Sensei is often one of the characters. He has always been like a father figure to Naruto to some extent. In these fanfictions, he may offer Naruto a place to stay and continue to train him. Another one could be Jiraiya. He might take Naruto under his wing more so than in the original story, seeing Naruto's potential and his difficult situation.
Another plot could be Naruto's journey of self - discovery. After being kicked out, he realizes his own worth independent of his family name. He may focus on developing his skills even more, like his ninjutsu and his ability to make connections with people. He might start to understand that family doesn't have to be blood - related.
Naruto might start to develop his ninja skills earlier. Without the orphanage, he has more freedom to explore and train. He could find hidden training grounds or meet mentors in unexpected places. His determination to prove himself and show that being kicked out was a mistake could fuel his growth as a ninja.
Naruto's life becomes a lot more difficult. He has to find shelter on his own. He might start sleeping in abandoned buildings or under bridges. He has to scrounge for food, which could lead him to steal at times. His loneliness intensifies as he no longer has even the meager company of the orphanage. He also becomes more distrustful of people, thinking that if the orphanage could reject him, so could anyone else.
She might first feel a great deal of sadness and confusion. But then she could start to rely on her friends. For example, they might offer her a place to stay. In many fanfictions, friends play a big role in a character's life during tough times.
One possible reason could be his unruly behavior. Naruto is known to be a bit of a troublemaker in the series, always pulling pranks. In fanfiction, this might be exaggerated, and the orphanage might not be able to handle it anymore. Another reason could be that he's suspected of being involved in something dangerous or illegal, even if he's innocent. For example, if there are strange incidents around the orphanage and Naruto is the easy target to blame because of his reputation.