The Equalizer is interesting. If I can put in my opinion, I think that it should be hindered in cutting against defensive Divine Artifacts, due to the fact that defensive power vs. offensive power should cancel out and affect each other like normal weapons. Offensive vs. offensive though I'll leave to Zale. Divine laws on an area are of course dependant on their effect and how they carry it out (i.e. Mina's laws that prevent Artifacts, Divine Artifacts, Minor/Major/Demi-Gods, Servitors, & Mythos from entering her lands without her permission isn't a barrier, but closer to stopping spatial movement so there's nothing for Equalizer to cut and thus nothing for it to affect).
Of course, Equalizer should bypass the defensive powers of Artifacts since they aren't as powerful as Divine Artifacts.
This would mean of course that any defensive Divine Artifacts are able to block Equalizer, but if it cuts well enough like a normal weapon, it can still destroy the defensive Divine Artifact. So armours/wards/barriers should be safe while weapons are up to Zale. Do my thoughts make sense?