I don't usually address "should" issues, but some time ago I did a rather extensive study of feminism lasting several years, so I find it hard to stop. Assume everything has an IMO in it.
Basically, you should not hate modern feminists for exactly the same reasons that you should have hated "second wave" feminists back then.
There was a time, centered around the 1980s with a couple of tails about halfway into adjacent decades, when lunatic gender/"radical" feminists dominated the scene. Even worse, other feminists worked hard to facilitate/run interference for them. The trend was nearly universal. The very few feminists who spoke out in favor of equality (including Betty Friedan) were widely ridiculed, mocked, and in some instances the subject of bomb threats. During that time, there really was nothing sensible to do except hate them.
However, "second-wave" feminism self-destructed, pretty much, around the middle 1990s. I'm going to put the date during 1997, because that's about when the research on domestic violence became compelling to most researchers, and the reflexive feminist-inspired hostility dropped away. There followed a few years where hardly anybody would adopt the label of "feminist." Gradually, a new feminism has been growing, largely due to a younger generation who, I think, perceived how badly gender feminism had harmed their mothers' generation.
This is not simply my perception. There was a book that kept me sane during the inane gender hostility of the 1990s. It was published under the title (not the author's real choice) of The Myth of the Monstrous Male and Other Feminist Fables by John Gordon in 1983. I had not read it in many years, but I found a copy for 1 cent (plus shipping). Though snarky and academically stilted, I found this book right on (as we used to say) about the times. When I read it now, it seems mostly irrelevant.
So I wrote the author. He agrees completely. He is still teaching the same undergraduate "Battle of the Sexes" class that he was 30 years ago, and he has noticed a dramatic return to sanity and increase of a sense of humor in his students.
So, I think that you should like modern feminists because they don't seem to be moving in that direction for the most part, at least not yet. OK, so they are not perfect. You can still find gender insanity, especially in the warrens of academia. The most alarming development recently has been the saga of Rebecca Watson and the Skepchicks, which is probably why I reacted so strongly. I remember how badly this hurt people back when Watson was, to quote Laurie Anderson, a candy bar in her father's back pocket.
Still, you should be encouraging toward modern feminists, if nothing else because the alternatives, proved by history, are much worse.
There are things to be cautious about.
You should be cautious about statements like you have seen in this thread. That what you speak of isn't feminism, or that it's a few bad apples, or some extremists, or whatever. The reason is that this is precisely the mechanism by which the lunatics came to exert so much influence and became so powerful. There was a kind of denial that these people were actually saying and doing what they were. Feminists refused to believe that women could be like that. They just assumed that because they had defined feminism as being in favor of equality, that this couldn't be happening. Yet it was, and they helped.
As a result of what functionally worked as denial, these lunatics had a clear path cut for them. I don't want this to happen again. Do you?
There is a chance that it might not happen again. Gender feminists relied on a strong streak of chivalry. I think there is less chivalry in the culture, probably resulting perversely from the actions of gender feminists, and that's a good thing. Still, it's a near thing. I haven't found a single wave of feminism (there have been WAY more than three, which is why I put "second wave" in quotes) that wasn't scuttled by conflicts between women in favor of gender equality and women who were against it but got feminist cred anyway.
As the guy said, those who do not understand history are doomed to run through the sucker again and again until they get it right.