No. Naruto has his own unique story and character development that is distinct from simply being a fanfiction of Uchiha Madara. Naruto is about his journey to become Hokage, his relationships with his friends like Sasuke, Sakura, etc. His goal is to bring peace to the ninja world in his own way, through understanding and friendship. While Madara is an important part of the Naruto lore, Naruto's story is not centered around being a fanfiction of Madara. He is his own hero with his own dreams and challenges that are not directly related to being a fan of Madara.
Well, if Naruto were Madara's brother in a fanfiction, it would completely change the Naruto universe. Their power levels combined could make them an unbeatable force. Naruto's positive attitude might have influenced Madara to not go down the dark path he did in the original story. It could also lead to different alliances and battles, with Naruto perhaps trying to reason with Madara and change his view of the ninja world.
Yes, there are several interesting 'Naruto is Madara Uchiha' fanfictions. You can find them on popular fanfiction websites like Fanfiction.net or Archive of Our Own. Some of these fanfictions explore unique storylines where Naruto has some connection to Madara Uchiha, either through reincarnation or some other creative plot device.
One great 'Naruto and Madara Uchiha' fanfiction is 'The Redemption of Madara'. It offers a unique take on how Madara could have been redeemed in the Naruto universe. It has a great plot that keeps you hooked from start to finish.
Well, in such a fanfiction, Madara's training might enhance Naruto's physical strength. He could teach Naruto some advanced Uchiha techniques which Naruto can combine with his own Uzumaki powers. For example, Naruto might learn better chakra control from Madara, enabling him to use his Rasengan more effectively and with less chakra waste.
In a fanfiction, Madara Uchiha's grandson could have unique powers. Since the Uchiha are known for their Sharingan, perhaps he has an evolved form of it. He could use this power to protect the Hidden Leaf Village, or maybe he gets caught up in a conflict between different ninja clans who either want to use his power or are afraid of it.
One similarity could be the focus on power. In a fanfiction about Uchiha Madara, power would likely be a central theme as Madara was extremely powerful. Naruto also constantly struggles with power, both in terms of gaining it and using it responsibly. Another similarity might be the exploration of the ninja world's history. Since Madara was part of the early history of the ninja world, a fanfiction about him would likely delve into that. Naruto also has many arcs that explore the past of the ninja world.
One common theme is power. Since Madara was extremely powerful, fanfictions often explore how Naruto deals with this new - found power if he is related to Madara. Another theme is identity. Naruto has to figure out who he is now that he has this connection to Madara Uchiha.
In some fanfictions, it might be possible for Naruto to be portrayed as Madara Uchiha's grandson. Fanfiction often takes creative liberties and twists established relationships. However, in the original Naruto storyline, there is no such relation.
One great 'Naruto Madara Uchiha Crossover Fanfiction' is 'The Uchiha's New Path' on FanFiction.net. It combines Madara's power with an alternate universe concept where he teams up with characters from other anime. It's really interesting to see how his skills and personality interact with new characters.