Izuku would probably be terrified at first. After all, he's been kidnapped by villains. But then, his hero - like determination would kick in. He might start looking for ways to escape or at least resist their plans.
Well, in a lot of such fanfictions, Izuku might be forced to join the League of Villains against his will. They could try to brainwash him, using their various quirks and methods. Maybe they'd want to use his knowledge of hero strategies against the heroes.
Maybe it's a group of villains working together. They could be from different factions but united by the idea that Izuku has the potential to become a huge threat to their plans. They might kidnap him to either eliminate him or turn him to their side. Also, it could be a lone, obsessed fan of a villain who wants to prove themselves by bringing Izuku to their idol.
Yes, there are likely to be such fanfictions in the vast world of fan - created content. The idea of Clark (presumably Superman) being kidnapped in a Justice League - related fanfiction can offer a unique and exciting plot twist for fans to explore different character dynamics and storylines.
All Might could also be a potential hero to save Izuku. He has a strong bond with Izuku and his presence alone could intimidate Overhaul. He would use his experience and power to rescue Izuku from the dangerous situation.
A new, mysterious group of poachers could be the villains. They might be after rare and powerful Pokemon to sell them on the black market. These poachers could be highly organized and have advanced technology to capture and keep the Pokemon hidden. Another option could be a lone, power - hungry trainer who believes that by kidnapping the strongest Pokemon, they can become the ultimate Pokemon master. They might not care about the well - being of the Pokemon, only seeing them as tools to achieve their own goals.
All Might would be furious. He would see it as his failure to protect Izuku. He would probably mobilize all the resources he has, both in his hero form and his connections in the hero world, to rescue Izuku. And he would be blaming himself all the while for not being there when Izuku was kidnapped.
A villain with an ice - based quirk could be a great antagonist. The contrast between Izuku's fiery Phoenix quirk and the ice - based powers would create interesting battle dynamics. The villain could be constantly trying to freeze Izuku and put out his phoenix flames.
It could be a rival group. Maybe a group of villains who are jealous of Morgan and Peter's abilities or something they have. For example, if they are super - powered in the fanfiction, the villains might want to study them or steal their powers.
One idea could be that Izuku is kidnapped by a group who wants to use his knowledge of hero strategies against the heroes. They hold him hostage in an abandoned building. Another could be that a villain with a grudge against All Might kidnaps Izuku as a way to lure All Might into a trap. Maybe a group of anti - quirk fanatics take Izuku because they believe his powerful quirk is a threat to their cause.