One possible plotline could be Naruto getting some of Kaneki's ghoul - like powers. So he has to deal with the hunger for human flesh in a way that's similar to Kaneki's struggle, but in the Naruto universe. Maybe he tries to resist it while still protecting his village.
I'm not sure about specific 'naruto acts like kaneki fanfiction' off - hand. You could try searching on fanfiction - dedicated websites like Archive of Our Own or FanFiction.net. There might be some interesting crossovers there.
Self - acceptance is a very prevalent theme. The two Kanekis need to come to terms with their own existence and their relationship with each other. Identity crisis is also common. They both represent different aspects of Kaneki's identity and the fanfic often explores how to reconcile these different identities. Additionally, the theme of power and control can be seen, as they may fight over who gets to be in control in certain situations.
Well, you can try searching on fanfic platforms like Archive of Our Own. Look for tags related to 'kaneki x kaneki' and exclude any tags that might indicate lemon or adult content. There might be some great platonic or friendship - centered fanfics about these two characters.
A common theme is the exploration of their dual identities. Given that they are the same character in different states, fanfics might delve into how they interact with this shared yet distinct self - awareness. Another theme could be self - discovery, as they come to terms with who they are both individually and in relation to each other.
One possible scenario in a Naruto - Kaneki fanfiction could be that Kaneki somehow ends up in the Naruto world. Maybe through a strange portal or some sort of jutsu gone wrong. He might initially struggle to adapt to the different environment and the presence of chakra. But his own unique kagune abilities could be seen as a strange new form of power in the Naruto universe.
Unfortunately, Kaneki did die in the manga. This event was a turning point that brought about many changes in the storyline and the dynamics among the characters.