Yes, decomposing water into hydrogen and oxygen and then recombining them back into water will do a pretty thorough job of purification.
Yeah the Sun does a pretty good job of turning water into vapor and condensing it into (rain) clouds and releasing it on the just and unjust alike.
Yes, decomposing water into hydrogen and oxygen and then recombining them back into water will do a pretty thorough job of purification.
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Boiling in a retort vessel with drip outlet for boiled water - nothing new here.
The technology to take nasty water and make it clean and usable has been around for decades.
What we need is a more efficient way to desalinate water and then distribute it to the entire southwestern united states.