Couple more thoughts to consider.
An ice cube floats very similar to an iceberg but on a much smaller level. Try this simple experiment. Fill a glass with water all the way to the rim. Place an ice cube into the water. Yes, there will be a bit of initial overflow. Dry everything off with a paper towel. Carefully, place the glass, water with ice cube onto a fresh dry paper towel. Let the ice cube melt. See if the new paper towel gets wet.
Now, when the cube melts the glass of water will not over flow. Think of the ice cube as the polar caps, the glass of water as the oceans and the paper towel as the continents.
Another point. If the earth is warming due to humans. How can ONE nation stop the trend? There are many developing nations without the means to be "climate conscious". These nations are struggling to feed and house their population or in deep economic doodoo.
Frankly, there are many companies raking in the $$ on the phobia. Its a giant money grab.