He can be made more confident. For instance, in social situations, he doesn't stutter or show hesitation like he sometimes does in the original. He walks into a room and commands attention with his presence.
There could be a fanfiction where Naruto, as an alpha male, has a more dominant presence in the ninja world. He could be involved in political negotiations with other villages, using his alpha - like charm and intelligence to bring about peace and alliances. For example, he might convince the other villages to share their ninja techniques for the greater good of all ninjas.
Sasuke is also quite popular. Many fanfictions explore his relationship with Naruto when Naruto is an alpha. Whether it's a friendly rivalry or a deeper bond, Sasuke's character adds a lot of depth to the stories.
I'm not entirely sure specifically what 'naruto is an alpha fanfiction' is about without reading it. But generally, a Naruto fanfiction with 'alpha' in it might involve characters with alpha - like qualities, perhaps in terms of leadership, strength or dominance within the Naruto universe. It could be a story that reimagines the Naruto characters in a new light with these alpha characteristics.
Some Naruto alpha fanfiction focuses on how Naruto's alpha status affects his relationships with the other characters in the village. He might have to deal with jealousy from some, while others look up to him. His alpha nature could also lead to changes in the way the village is run, as he takes on more leadership roles.
One common theme is the struggle between the werewolf nature and the ninja way in the Naruto world. For example, a character who is part werewolf may have to balance their new instincts with their ninja training and loyalty to their village.
Obviously Naruto is a main character since the title mentions he is an alpha werewolf. There might also be characters like Kakashi, who could be Naruto's mentor in dealing with this new aspect of himself. He would offer guidance and help Naruto control his werewolf powers.
One unique feature is the new character dynamics. For example, if Naruto is an omega, it changes how he relates to his alpha - type friends like Kakashi. It adds a layer of complexity to their relationships.
Identity is another common theme. Characters with the alpha bloodline may feel different from others in the Naruto world. They have to figure out where they belong and how their bloodline defines them. It could be that they are part of a long - forgotten clan with the alpha bloodline, and they need to rediscover their heritage.