(1) A big if. I haven't seen any hard evidence yet.
If the recruiter's accusation is indeed true, then we should ask questions about whether it is endemic to the entire organization. Though given the company's size—especially its growth through acquisitions (such as YouTube)—it's likely that the behavior is constrained to a single manager or department.
If that's too far removed from the actual job for you, how about if someone at Walmart acted in a sexist way in an interview. Would you condemn all of Walmart? Would you automatically assume there is a culture of sexism? Or would you at least entertain the possibility that Walmart employs thousands of managers, so it's not crazy to imagine that some of them might sometimes act in sexist ways, even without such a corporate culture?
You need more than a few instances to prove a claim of "this must be a cultural thing", IMO.
In it, he argued that women were essentially worse at logical tasks than men, and further that this made them poor engineers.
That's not a diversity memo, that's a sexist screed.
No he didn't. He said they were inherently less interested in STEM, and speculated about a few personality characteristics from psych research that might explain why, but all of that is irrelevant. Damore explicitly said that you can't judge individual competence from a probability distribution, even if the distribution of competence of each gender were different (which they largely are not).
Here's a broad overview of the literature covering what Damore got right and wrong: http://heterodoxacademy.org/the-google-memo-what-does-the-re...
Turns out, he was right that women seem to have different interests. I suggest reading about the things vs. people hypothesis. You can get more women into STEM subfields that deal with people if you highlight those aspects. Hiring quotas and some of the other measures Damore was arguing against would indeed have no effect on gender diversity given these facts.
Keep in mind that this is only one side of the story. There is little evidence to support the complaint. It's too early to draw conclusions.
It appears it was more than one. Possibly it was two.
Based on Reddit stories for a while, it seemed that even settin foot in the US was a near guarantee one would then be tasered, have their money taken by police officers, and then detained by agents from an unknown 3-letter agency and shipped to Guantanamo.
It's possible, though we have no way of knowing, that what's in this story is a case of a lone manager with an axe to grind. It's also possible that the attitude is pervasive.
It's likely best to withhold judgement and keep asking questions.