For what it's worth, a large portion of the "radioactive for thousands of years" problem is solvable, and there are a couple ways to solve it.

The problem is that comprehensively solving it and having a system in place for it being solved is not done yet, because either you need to build enough plants that burn the waste (plus systems for transporting it etc) or you need to switch to something like thorium as fuel, which generates much less / less toxic waste in the first place. Either of those things is doable, but they take A LOT of work.