State Transportation Emergency Flexibility Act of 2011 - Authorizes a state, after declaring an emergency regarding any component of the National Highway System, to repair or replace such component using any funds apportioned to the state under: (1) the federal-aid highway program; or (2) the coordinated border infrastructure or safe routes to school programs under the Safe, Accountable, Flexible, Efficient Transportation Equity Act: A Legacy for Users (SAFETEA-LU).