What impact could this have on the orbit of our moon? If mass collects in different areas on the Earth, would this change anything with the moon?

The Earth has gone through about 1800 polar reversals in it's life time. Proxy data tells us that the tilt has never been disturbed by these events.

About 80% of glaciers are melting while only 20% are actually growing. When fresh water dilutes salt water, there is a potential for the ocean currents to weaken or even disappear. This would have major implications of climate change, which we are currently becoming previewed to.