It really depends what you're talking about. If you want an government agency to show up at your doorstep when you start reviewing bomb-making and terrorist organizations over the internet, that's fine. If I get bored one day and start looking at how people make cocaine, just because I'm curious (I really don't know how it's done) and the same thing happens, that's not OK.
I'm not sure how privacy rights at home would have much to do with getting better intelligence with ISIS in Iraq, however.