Now? I don't think so. But I remember in the months following 9/11, a lot of the parents were (very justifiably) worried and some even took their kids out of school for a while (as if terrorists were going to come and attack middle schools in the suburbs of Buffalo), whereas the general attitude among us kids was sorta "meh". I remember thinking to myself back then while my parents were stressing out, "If somebody REALLY wants to kill me, it's gonna happen. So why worry?". But maybe that was just me.
I haven't discussed this issue at length with enough people from your generation to have a comprehensive answer for you, but I would generally say that the majority of my generation regards national security issues with a very Que Sera Sera attitude. Probably not a great thing, but that's how it is.