I hope Twitter realizes that this kind of skewed enforcement will just amplify the current cultural struggles and strengthen the compartmentalization between the political left and right.
Notable organizations in the list that I noticed:
Anti-Defamation League - The group that decided pepe the frog was a hate symbol
Muslim Advocates, World Jewish Congress - This group doesn't irritate me so much, except there are no advocacy groups for Christians.
National Network to End Domestic Violence - Specifies that they focus on ending female domestic violence only.
Feminist Frequency - Given how few people identify as feminists, I'm surprised this one is here.
There are probably more sketchy ones that I don't know.