No. It depends on what the means are.
In this case, "the means" are raising awareness to documented fact (that the NSA spies on its own citizens). If that causes fear, then so be it. It should cause fear, because it's scary. People should care about what their government does, and fear is one emotion that leads to caring.
If history has shown anything, it's that the American electorate doesn't get invested in purely intellectual debate. They need some skin in the game.