Looks to me that you’re only suffering in the color channels?
I sort that in AE.
Create an adjustment layer,
apply a channel combiner effect > set to: RGB – YUV
Apply a channel blur
finally a second channel combiner > set to: YUV – RGB
Footage will now look the same but you can blur the red, green and blue channels which will remove most of the moire without really effecting the image too much. You may lose a bit of saturation but you can add that back in, however, I’ve never bothered as it’s negligible.
I’m yet to come across a method of reducing non-colored moire (I’m not even sure if it’s called that). One thing I would say is that I’ve only had a big problem with it on 720p footage. I assume because there’s even more line skipping.
Hope this helps somewhat.