There's still 100x more ideas to clean coal pollution, bot nowhere near that to remove atomic solution. Saying something is viable over thousand of years is just dreaming.
https://www.orano.group/en/unpacking-nuclear/all-about-radio...
And only 200g per person per year of total radioactive waste has half life of more that 30 years.
I know this might be a bit challenging knowledge for someone with strong beliefs, but it's worth it to realign your beliefs with reality.
Talking about reprocessing (recycling is a complete misnomer), did you know that reprocessing greatley increases the amount (volume) of nuclear waste? And that it is not really economical, unless you want to make nuclear weapons.