With all due respect, the numbers indicate entirely the opposite of what you’re arguing here. As I reported today in Pacific Standard, 61 percent of the film’s opening-night and 55 percent of its opening-weekend audience were female. And as The Hollywood Reporter noted over the weekend, 51 percent of the movie’s opening-weekend audience was African American.
It’s not hard to do the math: A major audience for ‘The Birth of a Nation’ — perhaps the major audience — was Black women. This indicates that “petty,” “insecure,” and “destructive” — as you described them — Black women did not sabotage the movie as a result of Black feminist social-media posts, but in fact championed the film where other demographics did not. The same phenomenon was noted with regard to ‘Straight Outta Compton’ last year, even as Dr. Dre was facing similar outcry on social media and in the press due to resurfaced allegations of past acts of violence against women.
I’d suggest you check out the story, as it also contains information on how social-media “boycotts,” while buzzy in the Internet sphere, do not actually undermine box-office totals.