Agreed, dealing with the waste is a thing. But for me a solvable problem and something that doesn't need to be solved right away. We currently store a lot of nuclear waste in holding locations till we figure out a way to either make it less radioactive or store it for long enough. The alternative however is having coal plants all over the world spew all their dust (including radioactive dust) and CO2 straight into the atmosphere. This to me is a far bigger issue to solve. It isn't contained in one location, but instead ends up all over the world. It ends up in people's homes and bodies, with a huge impact to their health. It ends up in the atmosphere, with climate change causing huge (and expensive) issues.

The amount of money we need to handle nuclear waste would be orders of magnitude lower than what we are going to have to pay to handle climate change. And that isn't even fixing the issue, just dealing with the consequences. I don't know how we are ever going to get all that carbon back out of the atmosphere, but it won't be cheap.