On the Electrodynamics of Moving Bodies has nothing, whatsoever, to do with nuclear weapons. Nuclear weapons are about nuclear fission, which was not even discovered until 1938. Nuclei weren't even discovered until 1932 for that matter! But getting back to the point here, do you not think every other generation thought exactly what you are saying? There's a really fun quote from Michelson (of the Michelson-Morley experiment) in 1894:

"...It seems probable that most of the grand underlying principles [of physics] have been firmly established and that further advances are to be sought chiefly in the rigorous application of these principles to all the phenomena which come under our notice. It is here that the science of measurement shows its importance — where quantitative work is more to be desired than qualitative work. An eminent physicist remarked that the future truths of physical science are to be looked for in the sixth place of decimals."

Notably Michelson was the first person to experimentally observe a shocking key fundamental of relativity, outside the scope of this post. But he was so convinced that there was "no magic left, etc, etc" that he (and everybody else) actually thought his experimental result was due to a miscalibration or lack of precision in his results. So convinced was he of this, that he casually rejected his own results which would only be explained decades later - coincidentally, partly in the paper you seemingly randomly referenced here!