Then again, the Sun also produces ionizing radiation, which is why you get a burn if you stay out too long.
I’m not actually sure about that… “Radiation poisoning” isn’t a direct result of the radiation itself; it’s ordinary chemical poisoning from the breakdown products of dead cells. Anything that kills a bunch of cells will cause similar poisoning.
Oh, and another option for high-level nuclear waste is to turn it back into fuel, to get more useful energy out of it. The opposition to this is mostly due to security concerns: The same processes used to turn the waste back into fuel could also be used to make weapon material, which some folks worry could fall into the wrong hands.
Brooklyn is about 50 miles from Indian Point. IP is a very safe facility. And there are nuclear power plants that are closer to here than IP is. (Shoreham, for example.)
As for the storage question, parking the stuff in the middle of White Sands has been advocated by some. Just encase the spent rods in glass and stick them in a fenced-off spot in the middle of nowhere. Put up a sign that says “If you go past this sign you will die.” No need to bury the stuff - we might need it someday. Why make it hard to get to?
Three technicians were killed when the SL-1 reactor went supercritical in 1962. A nominally 100kW (or so) compact reactor, the accidental removal of a key control rod allowed the reactor to briefly hit a couple of GW, which instantly evaporated the coolant and blew off the top of the reactor. (One tech was pinned to the ceiling of the test building by control rods.) Probably as close to a “nuclear explosion” as anything not designed to explode has come.
There is no difference in kind between the radiation from nuclear waste and the radiation we are exposed to from the environment. They both give alpha, beta, and gamma radiation (practically no neutrons) - the difference is the amount.
Yucca Flat may not be in anyone’s backyard, but the routes to Yucca Flat pass through a lot of back yards, and one route is exactly 1.97 miles from my back yard.
I happen to be pro-nuke, but big issues deserve serious discussion, not snark.