How to tile Mars themis raster for Cesium

I am trying to tile the Mars themis raster that has the following crs:

PROJCS["SimpleCylindrical Mars",
    GEOGCS["GCS_Mars",
        DATUM["D_Mars",
            SPHEROID["Mars",3396190,0]],
        PRIMEM["Reference_Meridian",0],
        UNIT["degree",0.0174532925199433]],
    PROJECTION["Equirectangular"],
    PARAMETER["latitude_of_origin",0],
    PARAMETER["central_meridian",180],
    PARAMETER["standard_parallel_1",0],
    PARAMETER["false_easting",0],
    PARAMETER["false_northing",0],
    UNIT["metre",1,
        AUTHORITY["EPSG","9001"]]]

The --profile option in gdal2tiles can be geodetic, mercator or raster. Given the projection of the input raster above, I tile the raster as follows:

gdal2tiles.py --zoom=0-7 --profile raster input.tif output/

However, Cesium.js is unable to consume these tiles because it only supports a tiling scheme of either geodetic or mercator.

Is there a workaround? I was wondering if someone could kindly point me in the right direction.