Amortized over thousands of years is miniscule when compared to pollution from fossil fuels that gets "stored" in the atmosphere we breath in.
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.