Lots of good points have been brought up, I support nuclear power... but also depends on the people who run and administer things.
For example, Utah is sorta infamous for its terrible regulations and lax protocols to safety, ergo, between that and Energy Solutions and idiotic track record of safety, I don't want a reactor in my state. Period - 'cause the people here are corrupt and prone to stupid things. Giving them a reactor is like giving a drug addict a meth lab - going to explode sooner or later. Terrible anecdote on my part, but the point is that my problem with reactors is the people and organizations that run it.
They wanted to (and some still are pushing) for a reactor in the Green river valley. I have a problem with it because not only does our state suck at safety, but the place they want to put the reactor happens to be on an aquifer that feeds a good part of Utah, and if the reactor goes boom, less worried about fallout and more about contamination for our local ground water. Some people call me a worry wort, but my response is that after incidents like them burying waste out here and repeated incidents like the Crandall Canyon mine that killed a bunch of miners, I don't trust my local government or companies to administer it.