Hi just been taking time catching up on this thread.
To me it isn't about feminism but respect and many men and women feel the need to exert their power over people.
As the 'fairer' and 'weaker' sex it is easy to exert power over women by sexualising them this can be as simple as caller her a whore or as extreme as rape. Yes men can be raped and people can use power to demean men but it isn't as often and it isn't deemed as acceptable.
Another way men are put down is to feminise them if, it is this attitude and lack of respect that makes misogyny so socially acceptable. Of course their are extremes and exceptions as people have posted about.
I was brought up by a single mother who is not extreme but has feminist views, I never thought anything different about my worth as a woman or capabilities to be anything other than equal in any profession to any man. Yet even though my DH is very respectful of women his sisters seem to feel the need to be looked after and with that don't see themselves as being worthy of university even though one of them has a very scientific mind and is one of the most intelligent people I know. Yet her mother feels the womans place is in the home (not saying there is anything wrong with this as a choice) but to think only the males in the family are worthy of further education seems ridiculous to me, choosing to stay at home and raise a family is admirable but having no other option is restricting and a form of reinforcing that women are not good enough.
Misogyny has so many levels and don't think many people realise the implications of what they say. The man who called the poster 'girl' above this is another way of exerting power or dominance whether well intended or not because it is the norm people accept it and the more people accept these little bits the more boundaries are crossed and moved to include other things.
Internet trolls are keyboard warriors but you are right they use female genitalia as an insult whether the reason they attacked her was because she is a woman or not the imagery was misogynistic in itself. A penis (phallus) is considered a symbol of power, sometimes used for humour but female genitalia is an insult.
I do think women are more likely to get attacked for expressing opinion than men because deep down many people still think of women as second class citizens and less intelligent - or if they don't think this, the behaviour of others means this treatment of women is more acceptable and normal.
Men are bad for this but so are women, sometimes it is upbringing, social circumstances, naivety or lack of intelligence and in the worst cases it is purely to dominate and have power.