It's not paranoia. There are legitimate concerns about storing nuclear waste. It's not perfect and it is expensive. Wouldn't it be better to be able to skip past these problems onto something without those drawbacks?
Very substantial amounts of nuclear waste already exist.
Stopping making more doesn't make the problem go away (...at least for many thousand years). I'm more optimistic that current waste will be reprocessed or stored safely if nuclear power generation continues than if it all gets quietly forgotten.
