They overlap yes, of course. But what I am saying, is that where they overlap is an area which is still below most armed forces standards that we are talking about. I made an error saying it disqualifies 15-20% of men, I meant to say it disqualifies all but 15-20% of men. Women usually have around ~ the strength of men. Now some men may be 2-3x times stronger then other men, so obviously there is overlap where the strongest woman who is half as strong as the strongest man might still be stronger then the bottom 30-40% of men. Put it into perspective, look at this site
Women's Raw American Records
Just quickly running through the
collegiate women's powerlifters and weight lifters, the highest record bench press I could find was 253 pounds in the 198 pound class (most records were ~150ish). Personally, (not to brag or anything) I was doing close to 300 pounds at around 190 pounds by the time I was a sophomore in high school with two years of lifting under my belt. A sophomore in high school, doing more then the best collegiate women's athletes.
Not saying that is enough to completely dismiss the idea, but I think you see my point. Its quite well known that the presence of a Y chromosome leads to an average of 10 times of a natural level of androgens for males as compared to females. Thats no insignificant number (its also why men commit 90% of all crimes and murders).
Don't Put Women in Combat, Says Female Combat Veteran
I found that article quite persuasive on the topic.