Well, in fanfiction, if Team Minato watches Obito's future, they might be shocked. For example, they would witness his alliance with Madara and all the destruction he causes. It would be a moment of self - reflection for them. Minato might blame himself for not being there for Obito when he needed it most. Kakashi would also have a hard time seeing his old friend turned into an enemy.
In a fanfiction where Team Minato meets future Obito, it could be a very emotional encounter. Minato might be shocked to see how Obito has changed. Obito, having experienced so much in the future, could bring warnings about future disasters. For example, he might warn about the upcoming threats to Konoha. Team Minato would have to grapple with the knowledge that Obito is no longer the person they once knew.
They would be shocked at first. Minato would be filled with pride and joy seeing his son all grown up. Kakashi would respect Naruto's strength. Obito might be a bit envious of Naruto's popularity but also admire his spirit. Rin would be very friendly towards Naruto.
When Team Minato meets future Obito, there could be a clash of ideologies. Obito, having seen the harshness of the future, might have a more extreme view. Minato, on the other hand, is more idealistic. This could lead to intense debates within the group. Also, Rin's reaction would be interesting. She might be the one to try to bridge the gap between the old Obito and the new, more hardened Obito.
When Team Minato meets Hokage Naruto in a fanfiction, their reactions would depend on their individual personalities. Minato would be overjoyed and would immediately start asking Naruto about his achievements and how he has led the village. Kakashi would be his usual calm self but would show his admiration through his words and actions. Obito, who has had a difficult journey, might initially be hesitant but then would be inspired by Naruto. Rin would be the most excited, perhaps jumping up and down and saying how wonderful it is that Naruto is the Hokage. This encounter could also lead to a deeper understanding between them all and a strengthening of the bonds between generations.
Minato would react with concern and a sense of responsibility. He'd try to figure out the root of the problem. Kakashi would be reserved but still show empathy. Obito would be more upfront and vocal about his desire to help. Rin would be very gentle and motherly. For example, Minato might ask the reader about her family or dreams that have been shattered. Kakashi could share his thoughts on how he coped when he felt lost. Obito might offer to take the reader on adventures to show her the good in the world, and Rin would make sure she has something to eat and a place to rest.
They would be empathetic. Minato, as Naruto's father, would especially feel a deep sense of pain seeing his son struggle. He would want to reach out and comfort Naruto during his lonely times when the village shunned him because of the Nine - Tails.
They would probably feel a great deal of guilt. Minato, as Obito's teacher, might think he failed in guiding him. Kakashi would likely be devastated, seeing how his actions towards Obito led to such a dark future. Rin might be heartbroken to see the man she cared about become so corrupted.