During EA Global San Francisco 2017, there was a panel discussion called "Celebrating Failed Projects." At one point, Nathan Labenz, the moderator, asks, "What are some projects that you guys are harboring in the backs of your respective minds that you'd love to see people undertake even if, and maybe especially where, the chance of ultimate success might be pretty low?" In response, Anna Salamon says, "There's a set of books that pretty often change people's lives, especially 18 year old type people's lives, hopefully in good directions. I think it would be lovely to make a list of five of those books and make a list of all the smart kids and mail the books to the smart kids. This has been on the list of obvious things to do for the last ten years but somehow nobody has ever done it. I didn't do it. I don't know. I really wish someone would do it. I think it would be really high impact."
It seems that the following five books are popular in the EA community:
1. Doing Good Better by William MacAskill
2. 80,000 Hours by Benjamin Todd and the 80,000 Hours Team
3. The Life You Can Save by Peter Singer
4. Animal Liberation by Peter Singer
5. Superintelligence by Nick Bostrom
However, I doubt that Salamon meant to limit the selection to books related to effective altruism. If you could choose five books on any topic, which five would you choose?
Libertarian capitalism dovetails with EA insofar as it respects side-constraints on property rights - one has a right to that which one receives through 'free' contract - and conceives of person-to-person help as voluntaristic. Of course, Rand didn't think much of helping others either.
That's also why, correctly in my view, socialists don't think much of EA.
One thing I find odd about this socialist criticism is that it is stated as though it is the most obvious thing in the world that we ought to abolish the institution of private property. Even if you think this is right, it isn't obvious. It is, after all, rejected by almost the entire community of experts on economics.
The differences between Rand and EAs are clearly greater than the similarities. Firstly, e.g. most EAs are in favour of strong resdistributive taxation, which would be rejected by right libertarians. Secondly, as you note, EAs are in favour of a strong ethic of impartial benevolence, which is obviously incompatible with one of the key tenets of the Randian worldview.