M.H. Dutch Salmon Greater Gila Wild and Scenic River Act This bill designates specified segments of rivers and creeks of the Gila River system in New Mexico as components of the National Wild and Scenic Rivers System and transfers 440 acres of land from the Gila National Forest to the Gila Cliff Dwellings Monument. The comprehensive management plan that is to be prepared for such segments pursuant to the Wild and Scenic Rivers Act must provide for public involvement, including consultation with tribal governments. Any nonfederal land within or adjacent to such a segment that is acquired by the United States shall be incorporated in, and be administered as part of, the applicable segment. No land or interest in land shall be acquired without the owner's consent. If the Department of the Interior or the Department of Agriculture determines that no other feasible alternative exists, then it may authorize a project or activity that affects the free-flowing characteristics or other values of a segment under its jurisdiction, including (1) the construction, maintenance, and replacement of fish barriers; or (2) the use of chemicals to manage nonnative fish species.