They recommend shooting at around F11.
If possible set the ISO to 100.
Shutter speed would want to be at least 1/125 ~ 1/1250 as the moon is a moving object
LOL, seriously? I thought you were joking until I read the article, and then I realized you weren't kidding. I'm going to be shooting near some rocks, so I am hoping to get a little flash to still a wave crash and then a longer shutter speed to get the moon and the ocean reflection. I'll have to try and experiment.
From memory when we had the total eclipse a while back, about 1/2 second is the slowest you will be able to go on the shutter speed before you start seeing noticable motion blur with the moon. Or maybe it was a second and a half I have slept a few days since, but the point is you can go much slower than 1/125 if you need to get some motion blur out of your waves. ISO only matters for you as noise goes, so set accordingly. I think the problem you will face is dynamic range, the light of the moon will be overpowering and getting a decent exposrue on moon and dark waves will not be easy.