The key to beat Moon decks is not to be compressed. It's a deck that takes away your clicks more than your credits as you need to kill three facedown cards on sight:
a) Estelle Moon
b) Clone Suffrage Movement
c) Advanced Assembly Lines (Because it allows b to be played)
This is why Whizzard struggles: He has to check 1-2 remotes per turn, possibly under ELP and all he has as an advantage is saving on the cost of trashing cards costed 2 and 1. He also runs into a couple other problems:
a) No easy way to get past Fairchild 3.0
b) No HQ pressure
c) No Film Critic
This is why I think Criminal (Aeneas Informant+Desperado, Legwork, Siphon, Sneakdoor Beta) and Shaper (Clot, Astrolabe, Beth for ELP, HQ pressure of your choice) are better suited to beat Moon.
Moon sometimes gets stupid draws and just wins on turn 6, but most of the time it's very beatable if you play it right and have the right tools.