I think it might also be possible you are talking about the "No Fly List", so in case you are, I'll gear my answer towards that. This is the list maintained by the federal government that refuses some people, Americans and foreign, access to air travel into, out of, or within the United States.
The civil rights issues here are a little tricky. Americans have no right to get on an airplane, and government has the authority to regulate air travel and safety. The lack of transparency with the No Fly List is problematic, though.
First, you are much more likely to be on the list if you are Muslim or Arab-American, or have a Muslim sounding name. So it is a form of racial and ethnic as well as religious profiling.
Second, once a person is on the list, not only can't they fly on an airplane, but anyone else with that same name cannot either. That is, the list does not distinguish between different people with the same name. This is how some infants and teens have been denied air travel.
Third, the criteria for determining whether you are on the list are, well, classified Top Secret. The government won't tell you how you got on the list. There have been some cases where a person called to inquire if they were on the list before they attempted air travel, and their names were subsequently put on the list. Want to know how to get your name off of the list? That's classified too.
So the main issue of civil rights here is the lack of due process any citizen or visitor is accorded with regards to the No Fly List.
(And if you do mean No Fly List instead of No Fly Zone, maybe message us or edit your question to reflect that. Thank you)