That's not how it works. The waste has to be dealt with, but its not immediately harmful to the general population. Its a problem that has to be addressed in the long term, but climate change is a problem that has to be addressed in the short term. And by the short term I mean the past.

In other words, radioactive waste isn't a "your children" problem, it's several generations removed if a solution hasn't been found by then. Climate change is indeed a "your children" problem, if you're old enough to die in the next couple of decades. Otherwise it's a You problem.