Half-truths and blatant lies do not make good journalism.
Allison lies repeatedly by omission:
"Nuclear technology cures countless cancer patients every day" (omitting the fact that the plutonium and uranium fallout from bomb tests will continue killing for billions of years).
"What of Three Mile Island? There were no known deaths there." (because any deaths would have been miles downwind, giving plant owners "plausible deniability").
He lies about the full Chernobyl death toll, "The latest UN report published on 28 February confirms the known death toll - 28 fatalities among emergency workers, plus 15 fatal cases of child thyroid cancer" (omitting the enormous spike in leukemia, birth defects, thyroid and other cancers among downwinders). Those people died because the Russians lied, denying them a chance to protect themselves. It is clear now that the Japanese lied as well, and there is nothing to stop them from lying again.
Allison rewrites Cold War history with claims that the govt. and industry warned us radiation was "a quite exceptional danger" (while failing to warn the residents of little Cedar City before bomb tests, but canceling tests when the wind blew toward big, wealthy Las Vegas).
This disinformation campaign produced such pop culture gems as "The Amazing Colossal Man" (Hey kids, radiation will make you a giant!) "The Incredible Hulk" (gamma rays will make you super strong!) and "Spider Man" (radioactive bug bites give you super powers!) Oh, the inanity.
Allison conflates radiation with radioactive fallout, blathering about radiotherapy as if it were the same thing as inhaling bits of the deadliest element on Earth, plutonium. That's the stuff being released by the core breach in Fukushima Reactor # 3. He doesn't mention some types of radiation are more dangerous than others, lumping neutron radiation, gamma rays, X-Rays, beta and alpha rays in one big, happy pile of harmless medical miracles.
He wants to raise the allowable radiation limit (ALARA) to JUST under the threshold that starts making people sick, (AHARS) which means any additional radiation (from say, jet rides, medical X-rays or reactor meltdowns) would push people over the edge into cancer. He neglects to mention that children are FAR more vulnerable to radiation and fallout because their bodies are still growing. Apparently, he doesn't think children are worth an extra measure of protection.
He lies, "Radioactive waste is nasty but the quantity is small" no sane person would call thousands of tons of high-level radioactive waste that must be stored for billions of years a "small" problem. And if the problem is NOT intractable, why are nuke plants forced to store hundreds of tons of highly radioactive spent fuel rods on site? Because nobody wants the damn stuff buried in their state.
He claims he'd allow radioactive waste buried under his house, "Some might ask whether I would accept it if it were buried 100 metres under my own house? My answer would be: "Yes, why not?" (ignoring the fact that the govt. doesn't ask your permission, and that anybody who gets their water from a well nearby could find their water a source of tasty uranium, plutonium and americium. Yum!)
He's right about one thing, "More generally, we should stop running away from radiation," because you can't run away from the air you breathe or the food and water you consume.
Cancer rates have skyrocketed, thanks in part to nuke tests conducted as an experiment on the citizens of the United States. Just ask physicists, Marie Curie, Richard P. Feynman, Louis Slotin or Harry Daghlian. Oh, that's right, you can't, because they all died due to exposure to radioactive elements and radiation.
Finally, Allison fails to acknowledge his massive conflict of interest. He is a nuclear medicine physicist. He might be out of a job if nuclear power were banned.