Light Yagami, the main character in the anime "Death Note," handles conflicting desires and motivations by prioritizing his goal of creating a utopia where he is the ultimate ruler. He believes that his actions, no matter how extreme, are justified in his pursuit of this goal. Throughout the series, Light's desire for power and control often clash with his sense of justice and morality, leading to internal conflicts and difficult decisions. Ultimately, his determination to achieve his vision drives his actions, even as he faces challenges and ethical dilemmas along the way.