When the Alt-Right existed something that happened was women in the movement complaining of poor treatment before leaving. If "justice" as defined from the right could be characterized as "to each according to his or her place in the hierarchy" then misogynistic behavior towards women is unjust. Pic rel is one example but here in the US there is a significant presence of misogyny on the right (if we're being honest with ourselves).
A different position is Alain de Benoist's identitarian/differentialist feminism. In the interview "Benoist on Feminism, IQ, & the Wealth of Nations
Interview on the Human Sciences, Part 4" he says:
>From the beginning, in Europe women were never considered mere objects. Male domination, on the other hand, has long been legitimated by Christian theology which, especially in the first centuries, presented women as defective beings and a “place of sin.” From the 19th century on, bourgeois society has constantly repressed feminine values. This is what justifies the demands of women.
>But there are two forms of feminism: egalitarian feminism and identitarian feminism. The first thinks that the best means of ensuring the promotion of women is to work to gradually blur the distinction between masculine and feminine social roles. Women must be able to do “everything that men do,” but in this case it the male social role is implicitly taken as the model. The second, by contrast, holds that one can assert the equality of women only on the basis of their distinctness. The New Right supports the second tendency, represented in particular by Luce Irigaray, rather than the first, represented in particular by Simone de Beauvoir or Elisabeth Badinter.
>For its part, evolutionary psychology shows that the differences between men and women go well beyond their sexual organs. In mankind, the brain itself is sexually dimorphic. Thus sex is not reduced to “gender,” to a social construction (as claimed in “gender studies,” which are characterized above all by their sterility and their extraordinary monotony). Sex is a biological reality on which multiple social constructions are grafted. Feminism is thus completely legitimate when it demands the recognition of the equal value of what is distinctly female and what is distinctly male. But equal value does not mean indistinctness.
In his pamphlet Manifesto for a European Renaissance he discusses this under the section "4. Against Sexism; For the Recognition of Gender":
>The modern concept of abstract individuals, detached from their sexual identity, stemming from an 'indifferentialist' ideology which neutralizes sexual differences, is just as prejudicial against women as traditional sexism which, for centuries, considered women as incomplete men. This is a twisted form of male domination, which in the past had excluded women from the arena of public life, and admits them today - on the condition that they divest themselves of their femininity.