I will use logical arguments where each step is reduced to two premises and a conclusion or a lemma (a lemma is defined as a contention for premises as well as a premise for a contention above it.)

Premise 1: Masculinity is Related to Testosterone.
Support to premise 1: A female fetus will develop male physical and behavioral traits if the fetus experiences high level of testosterone during pregnancy.

Premise 2: Dominance Creates Testosterone and Testosterone Creates Dominance.
Support to premise 1: See the article in Fake it Till You Make It: “In “Power Posing: Brief Nonverbal Displays Affect Neuroendocrine Levels and Risk Tolerance”, Cuddy shows that simply holding one’s body in expansive, “high-power” poses for as little as two minutes stimulates higher levels of testosterone (the hormone linked to power and dominance in the animal and human worlds).” See also
Status, testosterone and human intellectual performance” on the link between dominance and testosterone.

Lemma 1, based on premise 1 and premise 2: Masculinity Requires Dominance.
Support to Lemma 1: since dominance and testosterone are interchangeable, and since masculinity is emanates from testosterone, masculinity requires dominance.

Premise 3, Feminism Acts to Eliminate the Dominance of Males.
Support to premise 3: see Feminist Social and Political Thought: e.g. “To eliminate men dominance on social orders, women must focus on women Radical Protests “

Contention 1, based on Lemma 1 and Premise 3: Feminism Cannot Prevail in an Environment which Includes Significant Number of Masculine Men.
Support to contention 1: Masculine men would  attempt to dominate their surroundings and refuse being dominated since it is the essence of their masculinity (see Lemma 1), in contradiction to the feminist requirement of lack of male dominance in society (see Premise 3).