Since you won't answer my question, I'll do it for you. The water does not overflow out of the glass. Except for some condensation around the outside of the glass, there is no mess on the table.
As for your example, you would have plate of water with 5 floating cookies and no water on the table. I'm not sure how that is supposed to prove your point, it really has nothing to do with the physics involved.
When water is frozen, it expands and takes more space. When it melts, it takes less space. Just as the ice in the glass melting didn't cause the water to overflow, the polar ice caps melting will not raise the ocean level to a scale that it would swallow islands and continents. To say that melting polar ice caps will raise the ocean level defies physics.
The story you provided did not have any scientific evidence that rising temperature caused the oceans to rise, nor did it link humans with the temperature rise or the waters rising. In other words, that story is complete bunk.
I'm not saying that our temperature isn't rising, it could be. I'm saying that the temperature rise is slight and is a natural occurrence.