Naruto's relationships would be turned upside down. For one, his relationship with the Hokage, whether it be Tsunade or others, would be much more formal and cold. He would be seen more as an agent of Danzo rather than a free - spirited ninja. With his friends from the Academy, like Shikamaru and Choji, he might not have the same easy - going camaraderie. They may even be a bit wary of him because of his association with Danzo. His relationship with the Akatsuki would be more of an enmity from the start, as he would be more indoctrinated into the village's security - first mindset by Danzo.
If Naruto was raised by Danzo, his relationships would be drastically altered. He would have a very different dynamic with the older generation of shinobi. For example, he might not have the same respect and admiration for the Third Hokage as he did in the original story. Instead, he would be more loyal to Danzo's vision. When it comes to his contemporaries, like Hinata, he may not be the source of inspiration for her as he was in the original. His relationship with the other Hidden Villages' ninjas would also be more hostile. Danzo's influence would make Naruto more territorial and less likely to form alliances or friendships outside of Konoha. He would be more of a lone wolf in the international ninja community, which is a far cry from the Naruto who wanted to bridge gaps between villages.
His relationship with Sasuke would be very different. Instead of seeing Sasuke as a rival and a friend, he might view him as a potential threat to the village from the start. With Sakura, he may not be as friendly or protective. His bond with Kakashi would likely be non - existent or at least very strained, as Danzo and Kakashi have different outlooks. Naruto would probably be more isolated from his peers, as Danzo's upbringing would make him more guarded.
When it comes to his friends like Shikamaru and Choji, Naruto might distance himself from them. Zabuza is a loner, and being raised by him, Naruto could start to prefer solitude. He might not value the group dynamic as much as he does in the original story and instead focus on his own strength and survival skills.
His relationship with Sasuke would be drastically different. Instead of being rivals from the Leaf Village, they could be on opposite sides. Sasuke might see Naruto as a traitor to the Leaf and Naruto might see Sasuke as someone who doesn't understand the Akatsuki's motives. With Sakura, Naruto might not have the same protective feelings. He could view her as just another ninja from a village that the Akatsuki has issues with.
Naruto's relationship with Kakashi would also change. Since Anko has her own way of doing things, Naruto might not be as receptive to Kakashi's laid - back teaching style at first. However, as he grows, he could come to appreciate both Anko's and Kakashi's approaches. And Kakashi might see Naruto as a more self - sufficient student compared to the original story, which could change their dynamic in terms of how much guidance Kakashi provides.
His relationship with Sasuke would be different. Without the same kind of rivalry born from their time in the academy under Iruka, Naruto might approach Sasuke more as an equal from the start. Since Anko and Ibiki would teach him different values, he might not be as eager to prove himself to Sasuke. With his friends like Sakura, he could be more protective in a different way. Instead of his usual exuberant protectiveness, it might be a more calculated and serious form of protection due to Ibiki's influence.
His relationship with Sasuke would be different. Without the same rivalry born from being in the same class at the Ninja Academy, their bond might be more of a friendly one from the start. Naruto might be more composed around Sasuke, as the Hyuuga upbringing would have instilled more discipline in him.
With Dumbledore, it would be a complex relationship. Dumbledore would be cautious yet intrigued by Harry. He would want to guide Harry away from the potentially dark path that his Nathrezeim upbringing could lead him to. Harry, on the other hand, might be resentful of Dumbledore's interference at first.
His relationship with Sasuke would likely be very different. Since Sasuke has also had experiences with the Rinnegan, they might now have a new level of understanding between them. They could train together to master the powers of the Rinnegan or compare notes on how to use its abilities.
Well, Naruto's relationship with his male friends would take on a new dynamic. For example, Shikamaru might be less dismissive of 'male' Naruto as he might expect different behavior from a boy. Naruto could also get closer to some of the more reserved male characters who usually keep their distance from girls. On the other hand, his relationship with female characters like Ino could become more complex. Ino might be intrigued by this new 'boy' in town and try to figure out what makes him different. And Naruto would have to constantly balance his real self and his pretend self in all these relationships.
With Kakashi, Naruto's relationship would also shift. Kakashi has had experience with the Sharingan and knows about powerful dojutsu. He would be both amazed and a bit worried about Naruto having the Rinnegan. He might try to mentor Naruto more intensively to make sure he uses it for good and doesn't let the power corrupt him. Naruto would look up to Kakashi even more as he tries to learn about his new power from Kakashi's knowledge.
His relationship with Jiraiya would be different. Jiraiya trained Minato, but with Naruto replacing Minato, Jiraiya might train Naruto even more intensively from an earlier age. Naruto would also probably be more open with Jiraiya about his feelings and plans, as he's not as reserved as Minato.