We are talking ice shelves the size of Rhode Island (about a quarter the size of North Ireland for you silly Europeans) breaking off. Even if you could collect these massive ice chunks, it would not be economically feasible. It would cost way more for you to harvest the ice due to fuel cost that the water would be worth. I have heard theories of people towing large iceburgs via boat to harbor, then using that ice as a freshwater source, but even then, it would only be plausible in very certain areas of the world (South Africa, South America, Russia, and Canada).
Unlike what everyone thinks, it isn't a lack of freshwater we are facing, it is a lack of freshwater in areas of high population. Say for instance California. This area has had significant drought for the last ten years, and thus has been emptying out lakes and reservoirs in order to water peoples lawns. Rather than people living where resources are available, due to the luxury lifestyle many of us live, we live in places that cannot sustain us without outside support.
We are in an ice age at the moment, we have been for the last 120 thousand years . That is a good thing for our species, and we should embrace the fact that we live in a time period in which we can thrive with 7 billion of us scurrying across the surface of the planet.
Conservation of our climate and our resources should be the largest issue our generation deals with. Socially speaking (ignoring the fact that there are you know, 30 million people in slavery), we are finally getting to a culture accepting of eachother, now we just need to make sure that the culture we created can survive.