Actually you give a demonstration of something unusable. I have for instance made the mistake of wearing cotton jockey shorts under wicking long underwear and the jockeys became soaking wet - a bad thing not a good thing. I was skiing so I simply pulled out my knife and removed the offending garment. Try instead wearing a wicking layer against your skin with the same polar fleece and see how it works. At times like this you unzip so the steam can get out, but you should be able to have a dry layer next to your skin, which is a good thing.
Jim