Yes, I do understand that I have the right to remove offensive people from my establishment or abode. You allow ill-mannered people to invade your home and business? Oh wait- you are ill-mannered. It's much clearer now.
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.