You've underestimated what a Maintaining Decent Treatment for All People Movement would cover.
It might be pacifist. It would certainly be very cautious about war. It would be pro-refugee.
And push for a rational justice system. civil behavior by police, and good prison conditions.
Oppose domestic violence, and be emphatic that this applies to men, women, and children.
Oppose bullying, both in schools and workplaces.
I'm not sure I've included all the major categories.
A lot of this isn't being done reliably, and some of it faces a lot of opposition
I'm not going to say that the social justice movement is the only source of valuable information, but it's done some good work in pointing out that there's violence which isn't taken seriously-- for example, violence against trans people.
For another source (overlapping SJ, I think), check out work being done by whores for them to be treated as normal parts of civil society.
There's a lot of work to be done even if you aren't worried about apes and dolphins.
Sure, and political/social movements exist which pursue all of these goals. But the underlying moral principle is very much not a matter of ideology or any political "plank", even though 'left-wing'- or 'progressive'- leaning folks are perhaps more likely to care about it in a political sense. Jonathan Haidt is of course very clear on this, and the general idea is older than Haidt's work - check out George Lakoff's Moral Politics or Jane Jacobs's Systems of Survival.
This is probably one reason why the so-called "SJ movement" went so c...
A long blog post explains why the author, a feminist, is not comfortable with the rationalist community despite thinking it is "super cool and interesting". It's directed specifically at Yvain, but it's probably general enough to be of some interest here.
http://apophemi.wordpress.com/2014/01/04/why-im-not-on-the-rationalist-masterlist/
I'm not sure if I can summarize this fairly but the main thrust seems to be that we are overly willing to entertain offensive/taboo/hurtful ideas and this drives off many types of people. Here's a quote:
The author perceives a link between LW type open discourse and danger to minority groups. I'm not sure whether that's true or not. Take race. Many LWers are willing to entertain ideas about the existence and possible importance of average group differences in psychological traits. So, maybe LWers are racists. But they're racists who continually obsess over optimizing their philanthropic contributions to African charities. So, maybe not racists in a dangerous way?
An overly rosy view, perhaps, and I don't want to deny the reality of the blogger's experience. Clearly, the person is intelligent and attracted to some aspects of LW discourse while turned off by other aspects.