Not only do feminists who hate trans people exist, from what I can tell they're more widely supported and considered more feminist than trans women who criticise them for it. Even some of the more prominent trans feminists[1] think that way, presumably because the ones that don't get rather less support from other feminists.
[1] See for instance Natalie Reed's blog post: http://freethoughtblogs.com/nataliereed/2012/12/13/complicit... Bear in mind that Cathy Brennan publicly outs trans women, encourages others to harass them, contacts their workplaces in order to try and get fired and their doctors in order to get them denied treatment. Somehow this is less objectionable - and more feminist - than the people she's targetting complaining about it.
Yes, they exist. I Follow people on Twitter who have made me aware of that issue. There's one prominent columnist in particular whose name I can't recall that seems to have it in for trans people and restrooms, for example.
Yes, the range of people with radically divergent, often incompatible, and sometimes nearly diametrically opposed views fighting for control of the word "feminism" is pretty broad.
You see the same thing with, say, "socialism". Or "Christianity". Or, really, lots of other things.
"Feminism" is sometimes somewhat more problematic than many of the rest because, for a variety of reasons, there hasn't been as much development of secondary terminology that is less contentious which helps discuss and identify the various competing factions clearly, so, when we try to discuss them, we end up having to say things like "Feminists who believe x, y, and z" and then half or more the discussion gets sidetracked into an argument of whether or not belief x, y, or z is necessary to, compatible with, or opposed to "true feminism" and whether, therefore, it is correct to use "feminist" to describe people with that view (or, OTOH, whether it is redundant to qualify "feminist" with reference to those beliefs.)
