Both are true and both need to be fixed. Yes, men are often pressured to be the breadwinner of the family. That is a problem too, and it should be less stigmatized for the women to be an equal breadwinner.
You are implicitly assuming that there are no differences between male and female preferences (on average). It seems plausible that biologically-originated gender differences may extend beyond genitalia. Is there any reason to believe men and women have the same priorities, abilities, and preferences, and that we should expect them to attain the same outcomes?
You'd need to show that our incredibly complex artificially created environments are built with biological gender differences at their core, or acknowledge that a huge part of human existence is learned behaviors.
The fact is, huge amounts of "gendered culture" have swapped genders over the centuries.
For example, everything you learned from a book, or from spoken language is not part of your innate biology. Only a part of how you gravitate toward that material may be biologically gendered.
If you believe that gender-correlated differences in life outcomes are largely due to societal norms, there are some issues which should be much higher priorities than (relatively) small differences in earnings due to choices of professions. For instance, almost all inmates on death row are male, and 90-95 percent of the prison population are male; this is a terribly disparate outcome with a much greater impact on the lives affected (and likely due mostly to mens' life choices, not a biased legal system). Perhaps you might argue that we should encourage men to stop committing crimes, but alas, we already do that, and it does not seem to work. Should we then use affirmative action to start encouraging women to take risky decisions to be more like men and be imprisoned at similar rates (or perhaps just imprison women at random if we are only after equality of outcome)? I don't know that this would work, but it would be 'fairer', would it not?
I believe that men are affected by a great number of factors including their biologies, and struggle to understand why anyone would believe otherwise.