Light Yagami handles the emergence of rival Death Note users, such as Misa Amane and Teru Mikami, by manipulating them to serve his own agenda. He uses Misa's infatuation with him to gain her cooperation and loyalty, employing her as the Second Kira to further his goals. With Teru Mikami, Light recognizes his unwavering dedication to justice and enlists him as the Fourth Kira, utilizing his fanaticism to eliminate threats to his reign as Kira. Overall, Light strategically manipulates both Misa and Teru to maintain control and eliminate anyone who poses a threat to his God-like status.