Improving Military Aviation Readiness Act of 2022 This bill requires the Department of the Air Force and the Department of the Navy to include Federal Aviation Administration (FAA) certified airworthy used, overhauled, reconditioned, and remanufactured commercial common/dual use parts, except for life limited parts, in supply chain solutions to provide for replacement or increased inventories for all Department of Defense commercial derivative aircraft and engines and aircraft that are based on commercial design. Additionally, the Air Force and the Navy must ensure acquisition of all such parts is conducted on a competitive basis, based on price and quality, and procured only from suppliers who provide FAA-certified parts that possess an FAA Authorized Release Certificate, FAA Form 8130-3 Airworthy Approval Tag from certified repair stations.