I don't think hermaphrodites is the right term, it's intersex. Hermaphrodites can reproduce without mating with anyone, all by themselves, which is pretty clever, but I don't think humans can do it!
The sex/gender thing is very interesting. I just typed a load of stuff and then realised that I was getting confused over sex and gender and so have rethought. I think that gender is on a continuum, totally. As much as gender is a social construct (men are like this and women are like that) the features of it are things that people actually want to do - grooming, being strong, maths, empathising, etc etc. In practice most people are a mix of the traits that are labelled "male" or "female".
Not sure where I'm going with this 
Like Len I feel that for individual people, everyone should be able to live how they choose and label themselves how they wish, without discrimination or fear or anything like that.
When it comes to groups as a whole, in the same way that when I say "men" I don't mean "that actual bloke over there", when it comes to thinking about MTF trans as a group, there are problems for feminists, Again though it's not talking about "that person over there" - who I want to have a free and happy life, but from a political/theoretical POV, there are problems.
Personally I think that if someone has been raised as a female and treated as a female all their life then they almost certainly "get it". I do not think that someone who has been born male and raised male is really going to "get it". They will get how awful it is to grow up knowing you're different, and if they fancy males then they will get the feeling of having a different sexuality to the mainstream and may have experienced abuse and so on because of that.... I think that growing up knowing that you are different and feeling wrong in your body must be awful. However I don't think that experience is the same as growing up female and experiencing that particular, pervasive, and total experience. All the women n the country have been steeped in it, many don't even notice it, most play along even if they do notice. Most women have been sexually assaulted, and all will have been treated in a certain way by men all their life. I honestly don't think that someone raised as a man would absolutely get it, I mean really feel it. How could they?
So from my POV like men who support feminism that's all well and good, and for MTF trans people to support feminism that's great too but they shouldn't be setting the agenda. FTM trans people OTOH of course will get what it's all about. I know that this view is seen as discriminatory to many, but surely it's just logical?