First, groups that support a single gender, race or ethnicity are just as bad when it comes to continuing prejudice, and for those people who are ignorant enough to spout the BS you referenced, those groups only further the prejudice by making those people think the group is getting special treatment BECAUSE they aren't qualified!
Please, no more special groups!
Second, and to the original point, there are differences in groups of people, and our RESPECT for those differences is important. However, in every group there are exceptions. In my experience, people who come to the United States legally tend to be better producers than the average American born worker. I have seen these exceptions mostly in cases where the originating country had extreme limits on who could attend school, and thus a lot of the people who simply weren't in the top 1/2% came here for a better opportunity. Those people, again in my experience, tend towards the top 5% or so - certainly hard working and intelligent people! The other side of the coin is that there are also Americans in that top 5%, but since there are more Americans... well you figure out how perception works.
Now that example obviously doesn't apply to women, as the limited thinking individual you mentioned is comparing all women to all men. However a similar scenario does apply, in that a lot of women have had to work harder to achieve success. I know plenty of men who had it given to them. Most of the women I know who are successful are because of their hard work. It is far less common for a woman to achieve success through the "ol' boys network!"
So, anyone in this country can be successful by working hard and learning their craft well. I suggest we all stop allowing certain people in the world to separate us into groups, which CAUSES hatred, prejudice, violence, war and other issues. We need to start realizing that we all have good points and bad points. Some of our qualities do in fact come from our gender, race or other background. We need to embrace those differences, not buy into the separation that has prevented the end of prejudice.
Now, enough lecturing, time for a favorite story of mine. I once used to work in the plumbing industry. Everyone "knows" that only men are plumbers. Cough, cough. So when an old man came up to our counter to purchase a product, and Robbie (female) took care of him, he started crying about how he wanted a man that knew what he needed. Robbie tried to explain that she could help him, but he refused. He saw me, knew that I had been with the company for 10 years or so, and asked me to help. I traded customers, listened to what he wanted, and then, with a great big smile on my face I realized that this was something Robbie had experience in that I did not! I really enjoyed looking over to her, and asking her to explain to me what he needed. It took a minute for me to grasp the concept, as it was a very unusual and old product that wasn't available. Robbie helped me, no - educated me, on what to do to provide a solution. I turned to the old man, and gave him the short story, as his mouth hung open and flies buzzed in and out! That was a long time ago, but it is still one of my favorite experiences in life.
Old people, young people, white people, black people, Asian people, hell maybe little green men and women, all have something to offer us if we will just listen and keep an open mind. We don't have to agree with everyone, but it sure helps to listen.