National Right-to-Carry Reciprocity Act of 2007 - Amends the federal criminal code to establish a national standard for the carrying of concealed firearms (other than a machinegun or destructive device) by non-residents. Authorizes a person who has a valid permit to carry a concealed firearm in one state and who is not prohibited from carrying a firearm under federal law to carry a concealed firearm in another state in accordance with the restrictions of that state or as specified under this Act.