Light Yagami's inner conflict in the anime "Death Note" is significant as it explores the themes of power, morality, and justice. His struggle represents the battle between his desire to create a utopia through his use of the Death Note and his gradual descent into darkness as he becomes consumed by his own sense of justice. This inner conflict adds complexity to his character and serves as a cautionary tale about the dangers of absolute power and the ethical implications of one's actions.