If they really are doing this (and considering recent events I would lean that way) that would seem like an effective irritant.
EDIT: For clarity, the button should explain what it will do, putting someone on a watch list without their consent is not a moral thing to do.
Since then, onion.to has gone down, so the first iframe wont work, but the second two will.
For the sake of clarity I wasn't suggesting the button be put on without a clear explanation of what it did.
In the right circumstances, it would be very useful. Not for catching terrorists but for putting pressure on the people on the list.
"We are only monitoring her because she is on the terrorist watchlist." "She is only restricted from air travel because she is on the terrorist watchlist." "She is only denied a fair trial because she is on the terrorist watchlist." "Please cooperate with us Miss President, unless you want us to tell the press that you have been on the NSA terrorist watchlist since 2001."
Having everyone on the terrorist watchlist is very useful, when you are able to selectively choose if and when you are disclosing the fact that someone is on the list.
The Sheldon character is very funny on TV.
It's a cat-and-mouse game and also needs a solid (i.e. political) solution.