Ha, funny We may all be upside down at the bottom of the Earth but at least we see the same moon!
Seriously though, I think the issue is with the choice of default images in the widget; dark for full moon, light for new moon is an unusual choice.
You can replace these default images with your own if you want to.
I have taken the set of nice hand drawn moon images from the tool and modified them to produce a set that has a bright full moon and dim new moon. You can find them here: