I was also interested in this. However, it seems that Imagemagick may not be the best tool for this.
Imagemagick is a "bitmap processor", but SVG and EPS are vector formats. Thus, the use of Imagemagick will cause these images to lose information, since it must convert from a vector format to a raster format, and then back to a vector. This probably explains why the contents of your image do not display correctly.
Perhaps consider using Inkscape for this conversion using the following
inkscape ing.svg -E out.eps --export-ignore-filters --export-ps-level=3
A source:
source share