The easy answer is Woes.
That said, there's a variety of options. Artifact destruction is generally good in every deck, and while (In my experience) DoN has been cut from many T1 decks it's often possible to fit Heavy Taxes or Treasures of War in. As for Moses, your own CoM or the powerful new Golden Calf can stop him without hurting your Music Leaders. Punisher is also very strong against Moses - he prevents it if he hits the table first, but it starts working again if he enters battle. Naz is trickier, although with the upcoming cities (especially fort Babel, if ML is your motivation for asking) it might be wise to spare a deck slot for site/fort destruction anyway.
The other point is to not rely exclusively on search. Always include some straight drawing as well, if for no other reason than to find your answers to their anti-search measures.
