I would expect Ishgardians to be more surprised at the rarer sight of a rising mi'qote or lala or even roe in social ranks than outright against it, if merit has been shown. So yes I would reasonably expect those races to have a slightly harder time overall to rise in Ishgard, not because people will do what they can to prevent them to do so, but more because of the "not expected" factor. Not something you see everyday.
Balmung:Â Suen Shyu