Taiwan Peace through Strength Act of 2022 This bill addresses military-related assistance to Taiwan. For example, the bill (1) requires the Department of Defense (DOD) and Department of State to prioritize processing Taiwan's requests under the Foreign Military Sales program; (2) authorizes additional Foreign Military Financing grant assistance to Taiwan, subject to various requirements; and (3) requires DOD to establish a comprehensive training program with Taiwan designed to achieve interoperability and improve Taiwan's defense capabilities.