Maybe the most important fact it all boils down to is energy density. Nuclear is literally millions of times more energy dense than any other energy source. Practically, that means millions of times less waste. (See let's talk about physics baby http://www.thingsworsethannuclearpower.com/2013/02/energyden... )
Envision a world powered entirely by coal. Not pretty. Entirely by solar? Appealing PR, but besides being not at all possible it has it's own immense ewaste issues and those never decay away and that waste certainly cannot produce energy. Entirely by hydro? That means destruction of perhaps the largest swaths of ecosystems in the world. Etc. Take any qualms about a globe powered by nuclear and then multiply it almost by millions of times for the other sources.
Land use is another huge factor. See this graphic for comparison. http://newenergyandfuel.com/wp-content/uploads/2010/06/LandU...
As far as security forces, etc, it wouldn't likely scale like that but let's assume it does. Are numbers like a million well paying jobs spread worldwide actually daunting? How many military folk end their service time in the US alone each year? I was an intern in the Office of the Secretary of Defense for Economics and Manpower so I should remember but I looked it up. There are hundreds of thousands of former service members looking for jobs each year. ( http://www.civilianjobs.com/careeradvice/related.aspx) Thats leaving out more than 6 billion in other people.