Just to add to what Steven has alluded to. If the moon dissappeared now, it would affect huge numbers of ecosystems, not just tidal systems. Many organisms use the moon light as a way to navigate, hunt etc.
In fact hatchling turtles when they climb out of the sand head into the water due to moonlight, without they would be lost or going in the wrong direction. This is actually one of the problems of building resorts on beachfronts. If turtls lay their eggs there, and they have large lights, like many resorts do, it throws the poor little turtles out and they dont know where to go.
So there would be a period of adaptation until species became used to this.