Military Corridor Transportation Improvement Act of 2014 - Amends the Intermodal Surface Transportation Efficiency Act of 1991, as amended, to declare as high priority corridors on the National Highway System as well as segments of the Interstate System: (1) U.S. Route 117/Interstate Route 795 from U.S. Route 70 in Goldsboro, Wayne County, North Carolina, to Interstate Route 40 west of Faison, Sampson County, North Carolina; and (2) U.S. Route 70 from its intersection with Interstate Route 40 in Garner, Wake County, North Carolina, to the Port at Morehead City, Carteret County, North Carolina.