This is not a complete answer; perhaps if someone has a copy of the book they can build on this. I've been unable to find the full text for the original claim and its methodology.
The statements and maps in the video are apparently based on this site:
[source: New York Times Jan. 9, 20061 Global diabetes map from NY Times Jan 9, 2006.] Its a fallout/rainout map from atmospheric testing radiation and you can see that the jet stream is the main transport mechanism. US map indicates that the highest diabetes rates in the US are along the Gulf Coast states where the Depleted Uranium is carried across the Atlantic on Westerlies and rained out where the highest rainfall occurs along the Gulf Coast. Basically the US Govt. is shipping the most radioactive milk from dairies around nuke plants into black and poor inner city communities. Wash. DC looks the same and we have proved it with US Govt. measurements of rad in milk by city. [Jay Gould, DEADLY DECEIT: LOW LEVEL RADIATION HIGH LEVEL COVERUP, Chapter "Infant Mortality and Milk"]
The book referenced in the above quote is "Deadly Deceit: Low-level Radiation, High-level Cover-up" (1991; on Amazon.com).
The review below is not technically proof against the claim, but it is a fairly solid academic criticism of it:
This small book is another in the genre of less is more, and there is an enormous conspiracy to cover up that fact.
The authors clearly abhor all things nuclear and have collected and searched through a huge databank seeking any and all variations in disease occurrence, which are then causally attributed to low-level ionizing radiation. In fact, they have attributed so many diseases and infections that it appears to be a situation in which some radiation event occurred and they searched until they found a disease, any disease, that increased during that time.
Claims that the first identification of or increases in occurrence of specific diseases must be the result of low-level radiation seem to me to be examples of the "wish bias."1 Diseases such as acquired immunodeficiency syndrome (AIDS), allergies, Lyme disease, chronic Epstein-Barr virus infection, toxic shock syndrome, Candida albicans infection, herpes, and pelvic inflammatory disease