American Heroes COLA Act of 2014 - Requires that, whenever there is an increase in benefit amounts payable under title II (Old Age, Survivors and Disability Insurance) of the Social Security Act, the Secretary of Veterans Affairs (VA) shall increase by the same percentage the amounts payable as veterans' disability compensation, additional compensation for dependents, the clothing allowance for certain disabled adult children, and dependency and indemnity compensation for surviving spouses and children.