Another theme is the exploration of relationships. Since Kakashi and Minato have a complex relationship in the original story, in time travel fanfictions, they can have new interactions. They might be able to understand each other better, like Minato getting to see Kakashi as a more mature and capable person if he travels to the future, or Kakashi seeing Minato's leadership in a new light if he goes back in time.
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.
One possibility is that there would be a lot of reminiscing. Team Minato was Kakashi's old team. They might talk about old missions, like the one where they faced the Stone ninjas. Kakashi could share how their teachings influenced his leadership as Hokage.
Emotionally, it would be a powerful encounter. They might share their feelings about the losses they've all faced, like the death of Minato. This could strengthen their relationships and also give Kakashi new insights as Hokage on how to protect the village better.
Minato might show his protectiveness by always being near Naruto in spirit. For example, he could leave behind some kind of jutsu or power that activates when Naruto is in great danger, like a hidden seal that releases a powerful defense.
At first, Naruto and Kushina might start to distance themselves from Minato. They could avoid him and not talk to him as much. As time goes on, the hatred might grow deeper. Naruto could start to oppose Minato in public or in important village matters. Kushina might also try to influence others in the village against Minato.
I recommend "I am the Second Young Master of the Flagwood Family" to you. The main character of this novel, Flagwood Miren, transmigrated to the Naruto World and became the second young master of the Flagwood Family. He is the same age as Kakashi. The plot of this novel also included other Naruto characters, such as Haki Shuogu, Ban, and Bo Fengshui Gate. I hope you like this fairy's recommendation. Muah ~š
Minato being alive in fanfiction could mean more guidance and protection for Naruto. It could also lead to new alliances and conflicts within the ninja villages.
Another one is 'Kakashi and Minato's Time Travel Adventure'. This story is full of action and emotional moments. It shows how both characters adapt to the time - travel situation and how their bond grows stronger as they face various challenges together in the different time period.
Well, Kakashi might use his Sharingan to intimidate the civilians and create an opening to grab Naruto. His quick jutsu skills could also be a factor, like using a clone to distract the civilians while he gets Naruto to safety.