This is an interesting, though rather off-topic conversation starter. I'll toss in my view:
To address the last point first, the consequences of "the community" being accepting of openly misogynistic people is possibly that the FOSS community gains a reputation (which it's already fighting) of being a haven for such people, and that anyone involved with it is like this. This isn't very good for the employment prospects for anyone who is prominently involved in FOSS, or attempts to evangelize its use in their organization. At worst, we could see a schism where FOSS advocates are all seen as misogynistic "neckbeards", and clean-cut "professional software developers" who aren't likely to expose a company to sexual harassment lawsuits are all Microsoft (or other proprietary software) advocates.
The quality of a product really doesn't matter as much as other factors, including public reputation, public image, and inertia. We've seen this over and over with Microsoft software over the years. Even back in the Windows 95/98 days, MS software was seen as "high quality" (even though it blue-screened every 30 minutes). Image is everything. Even outside of computing, there's countless cases of a technically-superior product or standard being sidelined in favor of something inferior, and inside computing cases abound (IE6 for example, being a standard for so long even though it's horrible, largely because of ActiveX even though it's a security nightmare). Most people do not look at technical specs for things; their perspectives involve other variables, especially the people involved in something.
However, the FOSS community has no "gatekeepers" as such, and is not a hierarchal organization. People are free to associate how they will here. But this might be something to think about if you're in charge of a project, and one of your peers is a highly outspoken misogynist or racist: he's going to cast a light on your project by association. There's a good reason companies don't employ people like this; the last thing they need is some news article that goes like this: "John Smith, a vocal advocate of amending the Constitution to make women second-class citizens, and also a lead programmer for XYZ Technologies, on Monday declared that..." Guilt by association and all that.
Now of course, there's a difference between refusing to associate with someone because of their outspoken views, and having a witch-hunt. If you're running some little 5-developer FOSS project on GitHub that no one's heard of, and one of your developers says something slightly misogynistic in an IRC chat, big deal. If you're running a FOSS company with millions in revenue and you hire a CEO who publicly spouts misogynistic views, that's an entirely different thing.