If you want to move the central meridian of the world map from Greenwich to something other, you get the same misplacements you encountered, but with the Map background, if it is built up by vector polygons.
See this Q&A for a workaround on it:
Reprojecting Natural Earth dataset to World Eckert I
Although written for Eckert projection, it should work for all worldwide views centered on meridians different from Greenwich.