Think about it this way.
The world hasn't really changed. We have.
I can only really see two/three major threats that our civilization poses to itself, which makes having Human Civilization "more dangerous" than not having it.
1. Nuclear War. (obvious) (although nukes could conceivably save us from the ultimate disaster, an asteroid or comet...)
2. Plauge. (Either bio-warfare/genetic engineering run amok, or just regular disease spread by modern travel.)
All the rest are benifits.
Destructive weather is the perfect example of this. We now have modern meterology, weather aircraft, radar, satellite warning of impending hurricaines, storms, tornadoes etc. Which saves thousands of lives every year. Before the 1940's, we had to hope a ship that ran into a hurricaine could radio land a warning, even then it realy didn't tell the story of how big, bad, or where the hurricaine was going.
Before radio, hundreds or thousands of people just died in the storms. Maybe somebody with a barometer had a little warning, but all it told them was that a storm was coming, they had little idea how bad, or where it would be.
The bad Pacific tsunami? That was a political failure of the countries affected. The U.S. knew about the tsunami hours ahead of time, and sent out warnings to Malaysia, Thailand, Burma, etc. but they didn't distribute the warnings properly. Had they gotten the word out to drop everything and head inland, even poor people on foot would have likely been saved. Unless it takes 50-100 years for the next tsunami, you can bet people will get the word out next time around...
Other bad stuff, like all the diseases you hear about, cancer this, diabetes that, heart disease, the obesity "epidemic in America"... All of that is because we now live long enough to actually get these diseases. The rest is because modern technology means we have too much and too rich of foods in our diets. In yesteryear, only the very rich or "the king" ate enough, and was lazy enough to get these diseases. Everyone else lived lives of back-breaking work on barely enough food. People never got cancer in the prior centuries because they were "old" and died at 40-50 years old.
So in essence a lot of our problems are because so many really bad ones we barely even think about have been fixed. The rest is because modern technology blasts the "bad news" at us from TV, radio, newspapers, and the Internet non-stop. The odds for humanity are better now with all our "modern dangers" IMO, than they were 100 years ago.