No other power source has the potential for disaster that nuclear does. They were seriously considering evacuating Tokyo until they got Fukushima under some semblance of control. Name anything else that you can't plan for (hydro) that has the potential to force the evacuation of a city 100 miles away.
No problem: Coal.
Previously: Also coal. Oil.
Future: [insert image of SimCity 2000 Microwave Plant mis-fire here]
IIRC, Fukushima is an old design that was already running beyond its originally estimated life span. Modern reactor designs are set up such that an emergency situation would cause reactor shut down -- they need a constant controlled feed to maintain the reaction, rather than a needing a constant controlled feed to limit the reaction. Shut down the entire control system in some catastrophic fashion and it'll quietly shut itself down. Can the containment be breached? Sure, a significant enough event could do that... Of course, a significant enough event could shatter a major dam and cause destruction all downriver.
I'm a big fan of Solar and Wind power, and I don't see any particular way those are likely to cause any sort of failure-disaster on the scale of anything else (at least until we're beaming it in from space), which is nice... However, I see modern Nuclear Fission reactors being relatively reasonable as a middle-point and as something that can help easily absorb loads when wind or solar have poor generating conditions -- of course, if you aren't running it at full capacity, it becomes rather expensive to maintain just as a back-up generation method, which could be problematic without government funding (or at least regulation for the general power grid architecture to require enough funding get to the back-up systems).
Nuclear is radioactive, it is lethal even through walls and miles of distance. We build massive amounts of redundancy in because of this. Yet you claim it isn't more dangerous than other sources?
Nuclear is not lethal through walls or miles of distance any more than anything else that can contaminate ground water -- it's the contamination that's a problem, and you see that with any chemical-consuming power plant. A hydro-fracking-related accident could potentially generate an earthquake to level a city (unlikely), or seriously contaminate an aquifer causing the entire region, and possibly all areas down-stream, to be unlivable (quite possible). Or an under-water drilling operation could impact, say, a gulf in the ocean, contaminating all of the fish caught there to the point where people starve. And I already pointed out the coal fire. So yeah, I'm quite willing to say Nuclear isn't necessarily more dangerous than all other sources. Just differently dangerous.