This attitude has permeated programmer (not brogrammer) culture long before brogrammers, or before anyone talked about sexism in IT.
Programmers have their own attitude, their own swagger (as geeky as it may be). Exactness is part of the culture because the job is very exacting. Being correct is important.
On the other hand 'We talk about trying to attract women and children to the field' is making a lot of assumptions. I personally would rather work with people who WANT to do the job- not people who are there 'because its a good job'. If a man or woman wants to be a programmer, awesome- let them in. But I think the idea of cheerleading programming as a career is a bad idea. And I'd hate to be the person who goes home on Friday night, hating their programming job- but people told them how cool it would be and so they pursued a field where they didn't really have an interest.
I usually go home Friday night pretty happy- because Friday afternoon is spent figuring out some stupid problem I've been putting off. I had great fun this past week working on some problems I was having with a search engine. I can't imagine slogging through this stuff without the innate drive and desire to figure out minutiae of freetext. It would be a horrible life indeed. Why push people into it?