Seeing patterns develop here that are common to all hunting and fishing guys, y'all just aren't reading them. Being an avid fisherman, as in to the point of 10 - 12 years of amateur tournaments under my belt, you tend to watch these things.
Cold night down south... Usually a passing front. Low Pressure moving through.
During a rain, or just after a rain... Passing Front, Low Pressure moving through.
Just ahead of an impending storm... passing front Low Pressure moving in.
When it's EXTREMELY COLD for several days up north... High pressure system.
3 - 4 days after a 29 degree night... High Pressure system.
Fish will always feed heavily just prior to a storm, when the barometer drops. You want to fish a falling barometer. Deer will also feed heavily just before ugly weather moves in, so that throws some conflict in the seeing deer theory. However, pretty much everything wild, is going to feed just before a storm, then lay low during the storm. If it sets in and rains for several days, fishing will improve with each passing day of the nasty weather.
If the barometer is steady to rising, as in just after a storm moves through, you have sunny skies. Fish won't bite real good for a day or so. As the high pressure system remains, fishing improves steadily with each passing day of constant sunny weather. Deer will usually feed right after a passing storm, especially up north as they need to replenish their energy stores. They have been exposed to extremes, whereas the fish have a more constant environment during the storm, and don't need to feed as closely behind the storm.
Full moon... You'll frequently see frontal movement on the full moon. Although, that isn't a given. I'd be more inclined to believe that as a predator, the yotes' eyes are more attuned to hunting in the dark, full moon reduces their advantage, unless the moon is full during daylight hours, and fully sets before sunrise. Then the hours of total darkness may be better for a predator.
Big ugly asss spiders are also tuned into passing weather fronts. If the weather is unstable the spiders aren't feeding either.
Start watching your observations in conjunction with barometric pressure guys. Keep a notebook, noting all weather, temp, barometric pressure, wind direction, precipitation, and compare your notes. I think you'll find weather is playing a large part in the other factors you're seeing.