What horrible nasty waste? Spent fuel? Spent fuel can be processed until it's harmless, it is only political policy preventing it from being reprocessed now, and instead stored in a mountain somewhere.
It's stored in mountains though. It's nasty when it's processed, nasty when is transported, nasty when it's used, and nasty when it's transported to the mountain, and nasty for thousands of years within the mountain. Most people are simply not willing to take on faith that it's all safe and OK.