I don't see much actual criticism of feminism so much as I see trophy posting when A Woman Did Something Wrong; as though proving that there are nasty women invalidates the need for feminism. I can't say I've seen the tumblr death chanting you mentioned.

Misogyny isn't "hating women" it is "treating them with contempt". After all most people who treat women badly do marry them or are have familial love for their mother, siblings, daughters and so on. People who treat women badly often think of women as people who are either naturally dishonest or inherently and childishly bad at things and thus cannot be trusted with big important decisions such as running companies or about things like whether they are ready to have kids or say no in bed. They think that women can be redeemed by being more submissive and accepting of "their place", with bonus points if they're also willing to provide assurance and gratification.

And while you and your friends probably don't go around saying "Gee, we hate women, women are the worst!", I have been the only woman in technological male-dominated workplaces where I was surrounded by casual conversation that was unapologetically contemptuous about wives, girlfriends, mother-in-laws and about how marriage is a prison and they are in some kind of servitude because they have children that need attention and their partners want to share domestic tasks. If you've not encountered this, then I am amazed and also thankful you did not initiate it. It's utterly exhausting to sit through, and each comment stings with a hint of "How can I trust my $male_person loves me? Does he talk about me like this?". Does it go the other way? Sure, I've also been in workplaces where the women griped about how they go home from their full time job and it's a battle with domestic sharing because husband refuses to help after his long day at work. It's not quite equivalent, but yes, women do also have contempt for men some times.

As for how anonymity makes things worse. Yes, yes it does. This is a problem which Penny Arcade illustrated fantastically back in the day before the whole dickwolves incident where they then proved that they themselves don't care if they're anonymous or not because they think the majority sides with them. See also the facebook comments on all kinds of sites where comments are a pit of debauchery. People engage in things like sexist and racist rhetoric quite freely, regardless of anonymity, when they believe that a reasonable portion of their audience agrees with them.

And yes, people will use all kinds of irrelevant political caricatures. But believe it or not, a caricature that for example highlights the race of person, is still racist. Racism isn't absolved by it being motivated by wanting to blame people. Blaming Ellen for everything irrelevant because she filed a sexual discrimination lawsuit (discrimination cases have a 15% success rate apparently) is still punishing her for filing the lawsuit.

At this point, I'm not sure what you think you're proving.