We already have freedom of movement [wikipedia.org], which is enshrined in the Constitution, as interpreted by case law.
In that case, the "no-fly" lists are, indeed, unconstitutional — and the ACLU are asleep at the wheel. Perhaps, having aligned themselves over the past decades with the Far Left of the American politics, they don't want to further hamper a Far Left President... Or, maybe, they are just disorganized and lacking decent members and funds — as eventually befalls all Far Left organizations, who don't manage to secure government funding while in their heyday.
What we don't have is freedom of anonymous movement.
Well, in that case we don't have a right to anonymous speech either. But numerous people on this and other forums would disagree — sometimes violently...
In my humble opinion, any right — speech, travel, carrying weapons — must be exercisable anonymously, or else it is not really a right at all, but a mere privilege.
Unfortunately, I — a first generation immigrant — have been rather disappointed by Americans generally agreeing, the government should be limiting certain rights with "common sense", even if "sometimes" it could go "over the top".