Sharpening will only make the moiré pattern more apparent. If you zoom right in you can see the makeup of the printing, what you need to do is soften the screen (descreen). The more your blur, the less the pattern, but also the more your image is blurred. You can make it as hard, or easy as you like, all depends on how good you need it for what your doing. You can do it as simple, as just doing a Gaussian blur just enough to remove the pattern, and then using Unsharp mask to get a little sharpness back, but not to much that you bring the pattern back. Sometimes I will work in Lab Colour mode and work in the channels trying to remove noise. Also I now and again I will fade in Median effects.
You can download filters that will descreen, but I find you get better results when you do things yourself.
Cheers