For Naruto and his friends, his new connection to the Dragon Sage power from Kushina could make some of his friends a bit jealous at first. However, as they see how he uses it for the good of the village, they would come to accept it. His relationship with Sasuke could also be affected. Sasuke might be intrigued by this new power and see it as a way to also become stronger, which could lead to some friendly competition between them. With Kushina, Naruto would share a deeper emotional connection as they explore their shared power heritage together.
If Kushina was alive in a fanfiction, Naruto's relationship with his father, Minato, would be different. They could all be a proper family, and Naruto would grow up with both his parents. His relationship with his friends might also change as he would have a more stable home life. For example, he might be more confident around Sakura and Sasuke, and his bond with them could be less about seeking acceptance due to his lack of family.
Naruto's relationship with the other Jinchuriki would likely change. If Naruto hates Yondaime, he might see the system of creating Jinchuriki in a more negative light. He could try to convince the other Jinchuriki that they have been wronged by the villages and their leaders like Yondaime. This could lead to either a united front among the Jinchuriki against the villages or some internal conflict among them depending on their individual beliefs.
His relationship with Sasuke would likely be different. With Naruto being a sage from birth, Sasuke might see him as an even greater rival or, perhaps, someone to look up to more. Naruto could use his sage - like wisdom to better understand Sasuke's pain and motives, and might be more effective in bringing Sasuke back to the village earlier.
At first, Naruto might be really confused by the presence of a female Minato. But as they start training together, he'd see her skills and start to respect her in the same way he did his father. With Kushina, he'd feel an instant connection as his mother. As time goes on, they'd become like a family unit, with Naruto seeing female Minato as a new version of his father and having a closer relationship with Kushina than he ever did in his own time since she's alive in this fanfiction.
In such a fanfiction, the relationship between Naruto and Kushina would be one of mother - son love and mutual respect. Kushina would be protective of Naruto and proud of the man he has become. Naruto would look up to Kushina and value her wisdom. With Hinata, Naruto's relationship would be that of a loving couple. Hinata would support Naruto in all his endeavors. When it comes to Kushina and Hinata, Kushina would likely see Hinata as a worthy partner for Naruto and Hinata would respect Kushina for being Naruto's mother and a strong kunoichi.
His relationship with Sasuke could change. Since Kushina was very protective, Naruto might be even more over - protective of Sasuke. He would not let Sasuke take any unnecessary risks and would always be there to support him, which could either annoy Sasuke or make him appreciate Naruto more.
If they are revived, Naruto's relationship with his parents would be much more complex. He has grown up without them, and now he has to adjust to having them around. Minato and Kushina would also have to get used to the fact that Naruto is no longer the little boy they left behind. Their relationship would be filled with a mix of catching up and learning about each other all over again.
His relationship with Minato would be very different. Instead of a father - son bond, it would be more of a brother - in - law type of relationship. Minato might see Naruto as an equal in a different way, and they could collaborate more as peers. Also, Naruto's relationship with Sasuke would have a new angle. Sasuke might be more envious of Naruto's strong Uzumaki bloodline, which could intensify their rivalry.
In this fanfiction, Naruto's relationships would be transformed. With his old friends like Sakura, she might be both scared and curious about his dragon form. Naruto would also have to form new relationships with dragons. Some dragons might be hostile towards him because he was once a human. But he could also find some dragon friends who accept him for who he is. His relationship with his sensei, like Kakashi, could also change as Kakashi has to deal with Naruto's new identity and powers.
One possible plot idea could be that Naruto discovers he has a connection to the Dragon Sage power through Kushina's heritage. Maybe Kushina was secretly a part of a long - lost Dragon Sage clan, and this power is passed on to Naruto. He then has to learn to control this new power while facing off against new enemies who are also after the Dragon Sage power.