We already use dispersal. For air pollution, for example.
Although they were detectable, the amounts were insignificant and posed no danger. After all, we're bombarded with background radiation every day.
The carbon 14 in all organic material is radioactive. That's why radiocarbon dating works.
https://en.wikipedia.org/wiki/La_Hague_site
Of course the particulars matter quite a lot, I'm have no idea whether the planned release at Fukushima is comparable to the releases at La Hague.