All Might is the symbol of peace to everyone in Japan.
Everyone, aside from his own son.
You see, Izuku Yagi, son of All Might, knows the truth behind the hero that everyone looks up to. While he was a hero to most, he was simply the drunk abusive father that blames Izuku for his wife's death.
Being wrongly labelled as quirkless, Izuku is shunned from society despite having an overly powerful quirk that he decides to hide from everyone.
His 'friends' turn his back on him, his immediate family want nothing to do with him while his extended family know nothing of his existence.
With the family Izuku chooses for himself, watch how he battles his past trauma and helps those he cares for achieve a dream that society has taken from all of them.
To show that that they matter and have a purpose.
Izuku Midoriya a young teenage boy in the world of superpowers where the strong ruled the weak. Ever since when he was young when he first got diagnosed for his quirk, he was quirkless. That alone didn't bring him down but it made his friends turn their back on him. They belittled him, insult him and even go far to hurt him with their quirks. He alone weak in a world and even All Might didn't support his dream, he was left with nothing but anger. The anger is not for anyone but himself. He blamed himself but he knew he couldn't control what he was given.
Now when he was on his last breaths something changed. Within the limits of the world he was given a quir- no a power. One that can surpass his limits, one that can make him go beyond and one that can even overpower gods. Now with this in his arsenal he would show this world that even if he doesn't have a quirk he has one far beyond that.