Well, that's easily refuted. To borrow an imaginative theory positing the speed of light not being constant by so-called YEC scientists and applying it to this problem--obviously the rate of movement of the moon away from Earth must have changed. So has the rate of dust deposition on the moon surface.
Speaking of established scientific facts, the speed of light is a constant that holds up pretty much any scientific theory or application.
Working backwards from a preconceived premise--um, that would be Ussher's dating scheme.
It is NOT an established fact that the speed of light is constant, in fact, hundreds of measurements over several hundred years suggest that the speed of light is slowing, and that in the very recent past the speed of light may have been billions (Yes, BILLIONS) of times faster than it is today.
http://www.sciencedaily.com/releases/1999/10/991005114024.htm
It is quite easy to find numerous articles on this subject.