With Kakashi, Naruto's relationship could change a lot. Kakashi has always been a mentor to Naruto. But if Naruto is Madara's grandson, Kakashi might be more cautious. He has a history with the Uchiha and Madara in particular. So, he could be more watchful of Naruto, which might make Naruto feel a bit alienated from his old teacher. At the same time, Kakashi could also see it as an opportunity to guide Naruto in a way that prevents him from going down Madara's dark path.
Naruto's relationship with the village elders would be on edge. The elders have always been a bit wary of Naruto's power. Now, if he's related to Madara, they would be extremely suspicious. They might try to limit Naruto's influence and power within the village. This would put Naruto in a difficult position where he has to fight not only for his place in the village but also to prove that he's not like his supposed grandfather, Madara, who had caused so much trouble for the Hidden Leaf in the past.
If Naruto was their grandson in fanfiction, his power level would likely skyrocket. He could gain access to the Wood Style more easily, like Hashirama. And he might have a natural understanding of the Sharingan and its powers from Madara. This would change the way he approaches battles and how others view him.
Some of his friends might be a bit more cautious around him. For example, Sasuke might be more on guard, as he has a history with the Uchiha and Madara's power is something he'd be very aware of. But Naruto would still try to keep their friendship intact.
If Naruto had Madara's memories in fanfiction, his relationships would shift in multiple ways. With his friends, he might seem a bit more distant at first as he tries to process Madara's often - solitary and distrustful view of others. However, he'd also be more protective, using Madara's knowledge of the world's dangers. His relationship with the village elders could become more strained. Since Madara had a negative view of Konoha's leadership at times, Naruto might start to question some of their decisions more, based on those memories.
With his friends in the Hidden Leaf, Naruto would become more distant. His new attitude would make them question his loyalty and motives. Sakura, who has always cared for Naruto, would be disappointed and confused. She might try to bring back the old Naruto, but his Madara - like attitude would make him resist her attempts. His relationships with his sensei, like Kakashi, would also be strained as Kakashi would not be able to understand or tolerate Naruto's new, more extreme views.
Well, with his friends, Naruto's relationships would change significantly. They would be confused and concerned. Sakura might try to use her medical skills to see if there's something physically wrong with Naruto that's making him act like a mini Madara. Kakashi would be on high alert, not knowing if Naruto could be a threat. Naruto's relationship with the younger generation, like Boruto and the others, would also be affected. They would look at him differently, and Naruto would have to deal with their disappointment and fear. He would have to work hard to regain their trust and show that he's still the Naruto they know deep down.
If Naruto were Madara's great - grandson in fanfiction, it would have a huge impact on the story. Naruto's place in the shinobi world would be redefined. His understanding of the ninja way would be influenced by both Uzumaki and Uchiha values. His interactions with the Hidden Leaf Village would be more complex. He could face discrimination from some who fear the power of the Uchiha, but also gain allies who see his potential. His relationship with Hinata could also be affected, as her family might view his new heritage in different ways. Moreover, Naruto's role in the overarching conflict between the villages and the forces of evil would be different, as he now has a different lineage to draw strength from.
He'd probably have some enhanced Sharingan abilities. Maybe he could awaken the Mangekyou Sharingan more easily and have unique powers associated with it. His chakra levels could also be different, perhaps even more powerful due to his Uchiha blood. He might also have an innate understanding of space - time ninjutsu like Madara did.
With his friends in Konoha, they would be initially worried. But those who truly know Naruto, like Shikamaru and Sakura, would support him in his decision. They would help him adjust to not having that power and encourage him to find his own path again. However, some of the younger ninjas who looked up to Naruto because of his great power might be disappointed at first.
His relationship with his sensei, like Kakashi, would also change. Kakashi would have to train Naruto to control his dragon powers. Naruto might be a bit more rebellious as a dragon, feeling the freedom that comes with his new form. But Kakashi would still be there to guide him, and their bond would transform into one that focuses on Naruto's new abilities and how to use them for the good of the village.
His relationship with Sasuke would be really interesting. Since Sasuke has his own complex connection to the Uchiha clan and Madara, Naruto becoming a Madara fan could either bring them closer together in understanding the Uchiha's past or drive them further apart if Sasuke doesn't agree with Naruto's new - found admiration. Maybe Naruto would start to push Sasuke towards a more 'Madara - like' view of power and revenge.