A better question is: is it worth bothering? The biggest yield terrorism has ever had in the US was 911 where around 3k people died. So if you look at the last 30 years of terror we're talking around 100 people a year. A problem that costs the lives of 100 people a year isn't really worth considering so long as things like cancer and heart disease are out there. Instead of wasting all these billions on war and anti-terrorism, invest it in cancer research. Now that could have some kind of impact.
And, yes, if my loved ones were hurt by terrorists I would be devastated. Just the same as if I lost them to heart disease, cancer, a car accident, etc. But I'm not willing to give up anything (not security, not time at the airport, nothing at all) to stop something that is so statistically minuscule as to not be worth thinking about.