You'll notice the article states the action is in compliance with FAA guidelines. As the federal government becomes more involved in the airline industry, it's no longer so clear that an airliner is a private establishment. Nor is it so clear that the passenger searches aren't occurring in violation of the 4th Amendment.
Bottom line: you can't have it both ways. When airlines accept government money, and use government agents to search passengers, they can no longer claim the rights of a private enterprise.
The article does not say the big mouth passenger was arrested or detained in compliance with FAA guidelines. It was the pilot's call on behalf of the airline he did not cite any FAA standards. If other passengers were alarmed or aware of the comment, he had to address it. The article does state that the pilot and crew were tested using FAA procedure.
The crew reported to a medical facility to be tested for alcohol and drugs, in compliance with Federal Aviation Administration guidelines.
This is the only mention of FAA standards and does not relate to the (almost)passenger.
So you and I, by accepting fire, police, sewer, etc. services provided by government, lose our rights as private citizens?