It is a two day cruise down to the Antarctica from the southern tip of South America. I dont remember seeing much ice except perhaps in the Chilean Fjords and that was about what you would see on an Alaskan cruise. Big chunks have floated north before. That is different from submerged ice though I really doubt there is much risk of that but I am no expert on the subject.
Remember, not all ships are created equal as far as their safety equipment and safety standards. This is one of things I worry about with many of the ships that are going to Antarctica. The Song of Flower is down there now - I just love the Song but would not want to go to Antarctica on that ship.