<span style="font-weight: bold"><span style="color: #660000"> I believe fox run more openly in the darkness of a smaller phased moon and or cloud cover partly due to the fact that they are constantly hiding from coyotes.</span></span>
I think Fox and Coyote can see in the darkness (Moon or no Moon). Reds have a skittish, survivor behavior, but don't think Coyote is always on Reds mind.
Full Moon, I don't think any critter, other than Skunk, wants to be lit up, it's not their nature.
Here's something from another site...
On Oct 27 we had a full moon.
Research shows that -
Yesterday the Moon was in a Waning Gibbous Phase. This is the first phase after the Full Moon occurs. It lasts roughly 7 days with the Moonís illumination growing smaller each day until the Moon becomes a Last Quarter Moon with a illumination of 50%. The average Moon rise for this phase is between 9am and Midnight depending on the age of the phase. The moon rises later and later each night setting after sunrise in the morning. During this phase the Moon can also be seen in the early morning daylight hours on the western horizon.