It has overlap, but it's not a 1:1 mapping. Genpop in most women's prisons has a machismo-driven culture, despite there being little masculinity involved.
Machismo is kind of just an expected output of certain game-theoretic conditions.
Street gangs, for example, are effectively corporation-like entities enacting machismo as an output of the organization — where the public face / "PR department" of the gang enacts domination/intimidation tactics upon symbolic representatives of other gangs in a way that can only be described as "machismo-driven." The same Nash equilibrium that gives rise to street gangs, also makes it so that it's [economically] Pareto-optimal for them to interact with each-other this way.
And this is despite no individual member of the gang necessarily being machismo-driven themselves. Gang members can "give rise to" corporate machismo entirely dispassionately, as an output of "just serving their role", in the same way that employees of a corporation can "give rise to" corporate profit-seeking entirely dispassionately, as an output of "just doing their job." No cog in the machine necessarily approves of what the machine as a whole is doing, but the machine does it all the same.