It could be due to a prophecy. The Uzumaki clan might have received a prophecy that Naruto would bring great turmoil or change to the clan, and rather than face the uncertainty, they chose to exile him. Some clans in the Naruto universe are very superstitious about prophecies. Also, Naruto's unruly nature as a child could have been misinterpreted. His pranks and disregard for some of the strict clan traditions might have been seen as disrespectful and a sign that he didn't belong in the Uzumaki clan, leading to his exile.
At first, Naruto might be shocked and confused. He would probably wonder why his own clan would do such a thing to him. He might feel a deep sense of betrayal, especially since he has always longed for a family and a sense of belonging within the Uzumaki clan. But being Naruto, he would soon turn his confusion and pain into determination. He would vow to prove himself and show the clan that they were wrong to exile him.
Well, he could start a family with Hinata and have lots of kids, passing on his Uzumaki bloodline. Then, he could encourage his friends who have some Uzumaki connection, like Karin, to also have families and pass on their Uzumaki genes. He could also set up a school or training center in the Uzumaki land, teaching the Uzumaki ways of life and ninjutsu, which would attract orphans or those who want to be part of the Uzumaki clan.
One idea could be a story where Naruto and Hinata explore the hidden secrets of the Uzumaki clan together. They might discover ancient jutsu or artifacts that could change the future of the Hidden Leaf. For example, they could find a powerful sealing technique that was lost for centuries and use it to protect the village from a new threat.
Well, it could be that the Uzumaki clan has some hidden knowledge or ancient artifacts. In the fanfiction world, they might discover an artifact that has the power to save Naruto from a life - threatening situation. Maybe it's a charm that can heal his wounds or reverse a curse placed on him. And since the Uzumaki clan has a rich history, there are many ways they could use their heritage to save Naruto.
Yes, there are likely fanfictions with this premise. Naruto being an Uzumaki has a strong connection to the clan. In many fanfictions, authors explore the idea of Naruto taking on the role of the clan head. This can lead to various storylines, such as him restoring the Uzumaki clan to its former glory, uniting remaining members, and using his position to bring about positive change in the ninja world. It also allows for exploration of Uzumaki clan lore and powers that Naruto could inherit and develop further.
Naruto could also offer incentives for Uzumaki to have children. For example, providing better living conditions, education, and protection. He might also use his influence to find suitable partners for the remaining Uzumaki members, both within the village and from other allied villages. This way, they can start new Uzumaki families and gradually increase the clan's numbers.
Maybe Naruto proves himself worthy by showing off his powerful jutsu skills that are related to the Uzumaki heritage. He could also use his status as a hero in the village. By winning the trust and respect of the Uzumaki clan members, he gradually takes over the leadership of the clan.
Naruto could learn about the Uzumaki clan's sealing techniques. They were masters of sealing jutsu. In the fanfiction, he might find out how they developed these complex and powerful sealing techniques, which were passed down through generations. It could be that he discovers some unique seals that were only known to the Uzumaki clan and how they were used for various purposes, like containing powerful entities or storing chakra.