Shape file fails to import into Google Earth Pro

My shape file fails to import into Google Earth Pro. Is the map projection of my shape file to blame?

When I heard Google Earth Pro was now free I thought it might be a good tool for non-GIS people to view some of the data we distribute in the shape file format. Unfortunately most of the shape files fail to import. All of the files that fail use our provincial map projection - EPSG 2953 (New Brunswick Stereographic Double):

PROJCS["NAD83(CSRS) / New Brunswick Stereo",GEOGCS["NAD83(CSRS)",DATUM["D_North_American_1983_CSRS98",SPHEROID["GRS_1980",6378137,298.257222101]],PRIMEM["Greenwich",0],UNIT["Degree",0.0174532925199433]],PROJECTION["Double_Stereographic"],PARAMETER["Latitude_Of_Origin",46.5],PARAMETER["central_meridian",-66.5],PARAMETER["scale_factor",0.999912],PARAMETER["false_easting",2500000],PARAMETER["false_northing",7500000],UNIT["Meter",1]]

Here is a simple file that fails to import (1:250,000 map grid): http://ift.tt/1K4tNkI

However, the “Aboriginal Lands” shape file will import fine. It is produced by the federal government and uses the following projection:

GEOGCS["GCS_North_American_1983_CSRS98",DATUM["D_North_American_1983_CSRS98",SPHEROID["GRS_1980",6378137,298.257222101]],PRIMEM["Greenwich",0],UNIT["Degree",0.0174532925199432955]]

The Aboriginal Lands shape file can be downloaded here: http://ift.tt/1zvQGlC

Are there certain projections that cannot be imported by Google Earth? Is there a list I can refer to?