I think some of the fear is justified. Climate change is a very real threat and it's justifiably scary. Our government, in the last 8 years, used remotely operated drones to carry out extrajudicial killings of American citizens -- including a teenage boy. Our security state now engages in mass surveillance of us in a time when our government is engaging in extraordinary rendition of suspected "terrorists" in secret w…
A lot of the most potent fears are black swan issues - something like bioweapons terrorism obviously isn't going to be reflected in everyday murder rates. Other issues are predictable and measurable, but not yet devastating. Environmental issues - not just warming, but things like drought and antibiotic resistance - are real and obvious problems. The fact that their harms will be suffered in the near future rather than now is no reason to neglect them.
Very simply, the statistical argument for current safety is true but unrelated to a lot of what concerns us.