nUI's minimap manager is *not* compatible with MoveAnything and I don't know that it will be. Unfortunately, when you use MoveAnything to manage the minimap, then you are really using two mods to manage it... nUI and MoveAnything and any time you use two mods to both do the same thing, one of them is going to break.
If you want to use MoveAnything to manage the minimap, then you need to turn nUI's management off using '/nui minimap' -- but this also means nUI will no longer have *any* control over the minimap which means it cannot swap the minimap with your focus frame, manage your minimap buttons, etc.
What people don't get is that I am, ultimately, an artist at heart. My brush has two colors, 1 and 0, and my canvas is made of silicon.