Naruto's character would likely develop a stronger sense of self - control. Since Ibiki is all about discipline, Naruto would be taught to rein in his wild side. He might also have a more cynical view of the world at first, but as he grows, he could find a balance between Ibiki's harsh realism and his own original optimism.
His character might become more stoic. Ibiki's influence could make Naruto suppress his more exuberant tendencies.
If Naruto was raised by Ibiki in fanfiction, his character development would be quite different. Firstly, he would be more introverted in the sense that he would think twice before acting or speaking. His sense of humor might be more dry and sarcastic, influenced by Ibiki's no - nonsense attitude. His relationship with his peers would be different too. He would be more of a leader in a quiet, authoritative way rather than the rambunctious leader we see in the original story. His view of the ninja world would be shaped by Ibiki's experiences, making him more aware of the darker aspects and more prepared to face them head - on.