After the December shooting in San Bernardino, CA, President Obama stated in his weekly radio address that it was “insane” to allow suspected terrorists on the country’s no-fly list to purchase guns. Shortly after, Senate Democrats introduced a measure that would have restricted anyone on the federal terrorism watch list, also known as the no-fly list, from being able to purchase firearms in the U.S. The measure did not pass after Senate Republicans voted down the measure.
It depends on their reasoning for being put on the no fly list, and plus this would probably be unconstitutional to deny someone's rights without due process, and also depends on whether they used a gun before or not, and in what way.
Depends on why you are band from flying. If there was violence or a terrorist threat then you shouldn't be able to get ammo or a gun. Now if you had a issue that involves you needing a service animal and your service animal was denied access to you and you ended up with anxiety attacks and they band you then you should be able to buy a gun as long as you are mentally stable.
The "no-fly list" is a small section U.S. government Terrorist Screening Database. No one in the database should be allowed to purchase a firearm. yet, any individual how is on the list should have a legal course of appeals through the courts to be removed from the list and have the right to purchase restored.
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