Eclan,
Please educate yourself on the culture of ISIL. They do not like women, the view women as second-class citizens that should stay at home with the kids, never to see the light of day and heaven forbid they should ever show anything but their finger tips and their eyes.
The only people who are suggesting that women are incapable of flying FJ's are the journalists on Fox News, and your good self.
If I get selected for military aircrew, I for one would be more than happy to have a female colleague. I'm sure it would increase the morale of the guys on the ground too in the knowledge that a lady is covering their six.