In the best of all possible worlds (I know...), perhaps there would be filters to filter out the radioactivity from the water.
There are. They are pumping the water through the condensors, which exist for this purpose.
Newly Released TEPCO Data Provides Evidence of Periodic Chain Reaction at Fukushima Unit 1
WHAT CAUSED THE HIGH Cl-38 RADIOACTIVITY IN THE FUKUSHIMA DAIICHI REACTOR #1? PDF
The Tepco table referenced in the video above is linked on the below page. Cannot open it myself as I get a Bad Encrypt Dictionary Error.