Earlier quoted context omitted.
Very simply, you're wrong. Badly wrong. http://spectrum.ieee.org/energy/nuclear/nuclear-fuel-from-th... The ocean contains 4.5 billion tonnes of uranium already. 4.5. BILLION. TONNES. Dispersed in water. I haven't noticed any continents dying off because of this, have you?
Have you heard about that discovery called radioactivity? Different isotopes? Ocean water >>> fresh water?
In fact, if you ground up the Fukushima reactor whole, to a fine powder, and dispersed it over the entire ocean, it wouldn't make one bit of significant difference with respect to the concentration of radionuclides.
Heck, the Soviets used to dump their scrapped sub reactors into the Arctic Ocean whole. There are dozens of them up there, probably (I don't have a hard number on this). It hasn't killed any oceans or continents yet.
Would I go scuba diving near one of the dump sites? Hell no! Am I going to lose any sleep over the prospect of them killing the entire ocean? Likewise hell, no!