This case will not have any problem. Every day thousands of people who hold visas expired passport, travel within the United States. Regardless of the airline or federal inspectors, generally do not check the identity of passengers on domestic routes. Therefore, the U.S. Immigration and Customs Enforcement (ICE) in the territory of the flight to check illegal immigration, is a very rare thing. However, if the case by the Federal Bureau caught, it's probably because of what particular things, such as assault or hunt for terror suspects, etc., under such circumstances, the authorities will inventory all of the passengers. However, such a thing is very low probability of occurrence. Therefore, the Bureau of Immigration and Customs Enforcement encountered agents is unlikely.