This is extraordinarily dangerous thinking. The "One Percent Doctrine" [1] is and was a huge driver behind the rationale for all the national security and counter-terrorism efforts in the post September 11th era - former Vice President Cheney is recounted as saying "If there's a 1% chance that Pakistani scientists are helping al-Qaeda build or develop a nuclear weapon, we have to treat it as a certainty in terms of our response." That very same logic was likely extended to Iraq - if there is a 1% chance Saddam is building WMDs, we must invade (it helps that the Bush Administration believed the chance was far greater than 1%).
Another problem with this 1% kind of thinking is that it's not even clear if many of the kinds of events that are purported to end the world would actually end the world - global warming won't cause human extinction; it will just cause hundreds of millions, if not a billion, deaths (through disease, flooding, displacement); the same applies for nuclear holocast.
[1] http://en.wikipedia.org/wiki/The_One_Percent_Doctrine
EDIT: I realized the irony is that you could call this the "Dangers of Thinking Like a Politician."