What do aliens have to do with a story about a chicken who thinks the sky is falling? Well, consider the common trope of aliens that abduct farm animals. A town populated by talking livestock just seems like a perfectly reasonable place for a UFO to land.
Perhaps coincidental, but the movie was released in 2005, also known as the Year of the Wood Rooster in Chinese zodiac
For just committing a little mistake, Chicken Little becomes the laughingstock of the whole town of Oakey Oaks and gets bullied and shunned for a whole year. Many teenage bullying victims may have suffered similar things, but with even his own father distancing from him and given no compassion by both children and adults, it's such a miracle that CL never thought of killing himself...
What would happen if the coach witnessed Chicken Little being picked on? Some have speculated he'd just take part in that.