The answer to the question may not be up to you. If you are on the no fly list you may be in for a long bus ride. Over 900,000 people are on the no fly list. The list is maintain by TSA which is part of Homeland Security. You can end up on the list if you are a known terrorist or a supporter of a terror group. If you pose a risk of piracy,or a threat to the safety of the traveling public.
There are two list you can end up on the no fly list or the select list. The select list is made up of political activists. On this list you will need to have additional screening before you board your flight.
How do I get off the list? Contact Homeland Security and they will inform you how to get your name off the list. Good luck with that.