CrackerJax, I'm sorry to say but the total volume of ice is fairly well measured (within 5-15%) by surveying the top of the icecaps with methods like radar and laser altimetry, locating the bottom of the ice with methods like seismic soundings, and calculating the difference.
Since 1960 (data from 1950's and earlier is not useful because of lack of reliable data), the total volume of land based ice is down about 2250 cubic km to about ~29400 cubic km. About 86% of total world ice in in the Antarctic ice sheets and continental glacier. Another 10% is the Greenland ice cap. The East Antarctic ice sheet, consisting about 76% of the world's ice has indeed gained about 10,000 cubic km but the West ice sheet has lost about 4500 cubic km
So you are technically correct that parts of Antarctic has gained ice, it's not enough to offset the total volume of the earth's ice which has declined.
That said, I agree that it has not been proven that human-caused global warming is occurring, and in fact there is substantial reason to reject such claims. Geological evidence indicates very clearly that at times in the Earth's past icecaps were much larger in extent--and alternately, at other times icecaps were virtually nonexistent. The best explanation for the evidence is that whatever global warming trend exists is mostly the result of natural influences like variations in the climate system and variations in solar radiation.