Almost all non-feminist and anti-feminist women that I have spoken or written to have been, in no uncertain terms, anti-MRAs. The reason why the vast majority of them are non- or anti-feminist is because they see the movement starting to destroy the elevated cultural image of women. It's just like the anti-suffrage women; both pro- and anti-suffrage women wanted maximum female cultural and political power. The anti-suffragettes knew that female voting would cause women to be seen as having responsibilities/liabilities they'd rather continue evading, and would drastically decrease their superior cultural and (indirect) political power.