If the differences are insignificant then why are most sports segregated by gender? Why does the entire female FIDE rating distribution sit 200 points lower than the male distribution?
The FIDE gap is not one that can be hand waved away as under-representation or discrimination or anything else. There are clearly differences between genders and races, and sometimes they are clearly significant. Whatever your views may be regarding how society should treat those differences, don't insult your own intelligence by claiming they don't exist.