Yes, but this also makes it seem like nuclear waste is a major problem which it isn't. Existing solutions work well, highly radioactive material is kept in car

Yes, but this also makes it seem like nuclear waste is a major problem which it isn't. Existing solutions work well, highly radioactive material is kept in carefully monitored cooling pools. Once it decays sufficiently, it can be put in more permanent storage, but at that point you should really compare the relative danger to that of natural uranium ore (which we dug out of relatively shallow mines in the first place).