Why you put so much credit on those big organizations that you mentioned? The Curezone website is a place where people come to seek alternative ways to cure their problems where the drugs approved by those organizations couldn't help them.
The pickling lime water is safe to be used with this alkalizing drink in moderation. Myself I just use like 6 to 12 tablespoons of lime water with no side effects. I knew about the danger of using the calcium hydroxide. This only occurs if you take directly the powder form internally. This form of powder is deadly cause it is extremely corrosive in concentrated form. That's why there's the instruction to make the pickling lime water just to dilute it making it non corrosive. Try pouring a tablespoon of the lime water on your skin of your hand and tell me back if it burned your skin or not? The corrosive effect of the pickling lime occurs only when it's in powder form. That's why there's warnings in handling it in the powder form. Also if you knew anything about the Edgar Cayce readings, he also suggested the lime water for certain cases.
And I repeat again, take the drink slowly over the course of several hours, not in one gulp. Try it by sipping it slowly.