The only way that could be tested is to remove the restrictions or create a coed area of worship.
This is a primary example of individuals confusing the wahhabi ideology that has bled into mainstream Islam as actual Islam. Take a look at the kabba or the masjid of Medina and you will notice something....NO BARRIER!
Also if you read the hadiths you can notice case after case where men & women worshipped together (granted that the women stood behind the men but if you think about the Muslim form of prayer you can see the practicle reason for this)
In addition to this you will notice not one example of segregation of the sexes mentioned in the Qur'an. Wahhabis rely a lot on hadiths (most of questionale source & contradictory to the sunna & the Qur'an)