I do a lot of crappie fishing at night, especially during the summer months, and used to believe that full moons would affect feeding patterns at night. However, in my experience, it hasn't had much of an effect. I've had just as much success on moonless nights as I have on full moons. In fact, I don't even consider the moon when preparing a night trip.
What I have seen that affects feeding more at night is water movement. I consistently catch more fish when the dam is generating power (moving a lot of water). When the water is basically pooling and not moving much, biting almost completely halts. Of course, I am anchored in a particular place with lights, and I do not know how it affects guys hitting docks. I think water movement and location relative to structure is more important when fishing at night than lunar phases.