Well, it depends on the specific fanfic. Some fanfics might really emphasize Naruto's growth to be on par with Minato in terms of smarts. They could show Naruto learning from Minato's memories or having some sort of spiritual connection that transfers knowledge. However, other fanfics might focus more on other aspects of Naruto's character and not necessarily make him as smart as Minato.
Another way is through training. Naruto might be trained by someone who knew Minato well, like Jiraiya. They could teach Naruto the same strategies and ways of thinking that Minato used. Also, Naruto could study Minato's past battles and learn from his techniques and decision - making processes. This would gradually make him as smart as Minato in terms of battle intelligence and leadership skills.
Well, Naruto has some similarities to Minato. Physically, they both have blond hair. In terms of abilities, Naruto's speed and some of his jutsu - like the Rasengan which was passed down from Minato - show a connection. Also, their leadership qualities are alike. Naruto became the Hokage, just like Minato was, and they both had to lead their village in difficult times.
Well, it could have Minato training Naruto from a young age. Naruto might grow up more confident and with better control over his chakra earlier. He'd probably be less of an outcast in the village too.
Kushina could be an important character even though she's dead in the original story. In this fanfic, her spirit or memories could play a role in Naruto's upbringing. For example, Minato could tell Naruto stories about Kushina's feisty personality and her love for the village.
One characteristic is their similar determination. Minato was determined to protect the village at all costs, and Naruto has the same unwavering resolve. This determination drives them to keep pushing their limits and achieving great things.
It could be that Naruto is trying to prove himself. He wants to show that he can be as great a fighter as his father. Also, he might have received some training or knowledge transfer from someone who knew Minato well. This could have inspired him to adopt Minato's fighting style. He may also be in a situation where his normal fighting style isn't working, so he turns to Minato's as a last resort.
One of the main similarities is their self - sacrifice. Minato sacrificed himself to save the village and his son. Naruto has also shown that he is willing to put himself in harm's way for the greater good. He's always the first to jump into a dangerous situation if it means protecting those he loves. Another aspect is their leadership qualities. Minato was a great leader as Hokage, and Naruto has developed into a great leader as well, inspiring those around him.
There's a fanfic called 'Minato's Return'. In this story, Minato somehow returns and gets to see Naruto's growth. It's really interesting to see how he interacts with Kushina, who is also there in the story, and how they both guide Naruto in new ways. The descriptions of their family bond are heartwarming.
Well, Naruto has had the advantage of learning from many great shinobi over time. He also has a unique bond with his friends which could potentially give him more strength. Minato, on the other hand, had a shorter lifespan to develop his powers. Naruto has had more time to grow and surpass his father in strength.