By personal experience, I mean in actually analyzing the samples in the laboratory. Give us some sample data on these emissions and compare it to naturally occurring beta or alpha emitters in the same sample. You claim that infant mortality after 1945 is somehow associated with fallout from weapons testing. Infant mortality can be affected by a thousand other factors, as I think you will admit. You would have to agree that it cannot be entirely accurate.
All data sets have uncertainty.
Those people who recorded the data did not know that you were going to use it for this purpose and to assume that the basic data can even be used for your purpose is highly questionable. You claim that because infant mortality has increased during certain periods, that this is proof that fallout caused the increase. You can point to dozens of factors that also correlate well with infant mortality. You make some comparisons between the various states on infant mortality, but you fail to consider that different states may record things differently and that procedures can also change with time. What about infants who die at home, rather than in the hospital.