Unless the animals have developed a way to move for miles every day, there should be predators who are adjusted for the night side, and predators who are adjusted for the day side that would be well known and defended against from the prey on their side. For a sentient species, figuring out how to defend against one or the other shouldn’t be too hard.
What would be harder to defend against would be those predators who live in the twilight areas are close to both day & night.