There are obviously no incompatibilities between reality and the moral claims of feminism.
That's false. The moral claim of feminism is that man and woman should be treated equally. Reality is that they aren't treated equally.
I think you are misinterpreting what was meant here. What seems to have been meant is that there's no conflict between what normatively feminism claims and the description of how reality actually behaves, not whether the feminist ideals have been accomplished. This is in contrast with for example how classical marxism makes claims about the nature of reality that are just demonstrably false about the nature of economics, and that's independent from any descriptive claim about how economies currently work.
What seems to have been meant is that there's no conflict between what normatively feminism claims and the description of how reality actually behaves, not whether the feminist ideals have been accomplished. This is in contrast with for example how classical marxism makes claims about the nature of reality
Yes, they do. See for example all the comments talking about 'patriarchy'.
I don't mean to claim that there should be a conflict.
Most likely the conflict arises because of many things, such as 1)Women having been ostracized for much of our society's existence 2)People failing at the is-ought problem, and committing the Naturalistic Fallacy 3)Lots of media articles saying unbelievably naïve evolutionary statements as scientific fact 4)Feminists as a group being defensive 5)Specially defensive when it comes to what is said to be natural. 6) General disregard by people, and politically engaged people (see The Blank Slate, by Steve Pinker) of the existence of a non Tabula Rasa nature. 7) Lack of patience of Evolutionary Psychologists to make peace and explain themselves for the things that journalists, not them, claimed. and others...
But the fact is, the conflict arose. It has only bad consequences as far as I could see, such as people fighting over each other, breaking friendships, and prejudice of great intensity on both sides.
How to avoid this conflict? Should someone write a treatise on Feminist Evolutionary Psychology? Should we get Leda Cosmides to talk about women liberation?
There are obviously no incompatibilities between reality and the moral claims of feminism. So whichever facts about evolutionary psychology are found to be true with the science's development, they should be made compatible. Compatibilism is possible.
But will the scientific community pull it off?
Related: Pinker Versus Spelke - The Science of Gender and Science
http://www.edge.org/3rd_culture/debate05/debate05_index.html
David Buss and Cindy Meston - Why do Women Have Sex?
http://www.youtube.com/watch?v=KA0sqg3EHm8