I do agree though that even I used to be completely against nuclear power because of the unsolved waste problem. However in light of the last 25 years not having brought enough progress to prevent an environmental collapse I'm inclined to accept that now, as yet another thing we'll just have to figure out at some point.
In terms of the waste, right now nuclear waste could be recycled which would reduce the amount of waste: https://en.wikipedia.org/wiki/Radioactive_waste
Soon it will be possible to use most of the waste as fuel:
"...Fast reactors can "burn" long lasting nuclear transuranic waste (TRU) waste components (actinides: reactor-grade plutonium and minor actinides), turning liabilities into assets. Another major waste component, fission products (FP), would stabilize at a lower level of radioactivity than the original natural uranium ore it was attained from in two to four centuries, rather than tens of thousands of years"
http://en.wikipedia.org/wiki/Integral_fast_reactor
https://en.wikipedia.org/wiki/Generation_IV_reactor
While there are issues with nuclear power, the worry people have about nuclear waste is greatly overblown to say the least. The amount waste is very manageable (the Netherlands actually stores their waste in an art museum) and in a relatively short amount of time we will likely be able to use most of this "waste" to generate electricity.