Things i agree on by reading up to this point...
Once distilled water hits your stomach, the acid content is like zero on the PH scale, extremely acidic. Then what are the changes to the distilled water inside your stomach before it enters your the lower intestines and such. Sometimes food and water can stay in your stomach for a very long time, and that makes it highly suspect that distilled water would of retained any of it's leeching properties by the time it exits. This was also the point my doctor made, is what do you think happens to distilled water when it hits your stomach acid chamber? He knows a little about bio-chemistry as a doctor and he thinks it's silly argument that distilled water leeches anything from the body, because it's the liver and kidneys that does the filtering. Water is simply an aid to digestion in his view, and he doesn't believe distilled water can leech anything at the cellular level. If we can find out what the changes are to distilled water once it hits these chambers, then we can know what it's capable of doing, if anything.
The best research I have found are these two, one from the WHO, and other in favor of distilled water from the Canadian Water Association.
WHO
http://www.who.int/water_sanitation_health/dwq/nutdemineralized.pdf
Canadian Association
http://www.cwqa.com/faq.php?section=cwqa&subsec=faq&question=3A
Cybernook
http://www.cyber-nook.com/water/DistilledWaterWHO.htm
Bascially if Distilled water doesn't leech at the cellular level, then the case is closed. All we would have to worry about is getting enough minerals from a balanced diet. The Electrolytes thing would be the lesser of the two evils in this debate, but I am always open to hear more about this. Those can be replaced quickly, as where replacing minerals in the bones and at cellular level, much longer. That part of the research is critical, IMO.
If you read what the WHO wrote, or if you read what the water association wrote by Lee Rozelle, not to mention the Canadian Water association, you would of seen it mentioned 3 times, that the official report of the US Navy from the top brass states that in 40 years of naval vessels out to see, no one ever experience long term health effects by drinking distilled water according to their records.
Reference:
http://www.medhelp.org/posts/Nutrition/Distilled-Water-for-
drinking/show/1251783