Just a point to make: ice made from contaminated water is NOT safe and plenty of folks have gotten sick off of it. I don't think that tank water in a boat ought to be consumed (ingested) unless it was filtered and UV treated and, as Mike says, turned over frequently. The basic problem is that unless you live on your boat and use the water system all the time, stuff sits and grows in there.
The basic things that can make you ill from drinking tank water are as follows:
1) stuff that's alive- this is bacteria, viruses, protozoa, and fungi. Usually a combination of filters and UV treatment will reduce these levels to safe, but not always.
2) stuff that's poisonous: fuel, solvents, cleaning solutions, etc. Usually the taste puts you off these, but not always.
Having lived aboard for many years, I used tank water for showering and dishwashing only, and kept bottled water on the boat. I do not recommend tank water for brushing your teeth, or drinking. It may be safe to cook using tank water, but you don't really know. I think if you have a good multistage filtering system plus UV treatment, you can be somewhat reassured. Frankly I would still carry bottled water for drinking.
Having treated countless cases of "turista" over the years, and also experienced it myself, I carry a cooler of ice and bottled water for drinking. Not all the illnesses that people acquire from bad water are brief- it is possible to get Hepatitis A, as well as various fungal infections that can be quite serious, from bad water. Better to avoid it.
Oh, and as Mike said, rum, while having its' own risks, is safe with regard to the issues at hand. Ice, however, is not. Mixed with lime juice and bottled water, however, rum is safe and traditional.