If the research and conclusions are that clear, lets make it a law. To give that some perspective with Swedish data; 87.4% of men and 87.6% of women has a professions position that is gender segregated. Out of the top five worst offenders four is dominated by women. In higher education there one program that is currently fully dominated by a single gender and that one is 100% women.

It would be interesting to see what would happen if a law demand gender quotas for those ~90% of work places. If we assume a linear distribution where the average work place has a gender ratio of 80:20, about 18% of every employed person in Sweden would then get their job through the gender quota law which is then about a half million women and men. That would make for a fascinating social experiment.