This question is directed to people who think gender matters for behavior and mental capabilities. Similar questions could be asked about race and other traits.
Suppose that gender is a social construct. Suppose that gendered behavior is due to just culture, not a mix of culture and genes. Suppose that women are born with equal mental capabilities to men.
If you conceded all that, what would you change your mind about, if anything? Why?
I ask this because a lot of effort is spent denying that gender is a social construct. Many right wing people are quite hostile to the social construct theory and view it as dangerous. But what negative consequences do they think it implies?
I interpret people as thinking something like "If the left was correct that gender is a social construct, then a lot of their political philosophy would be correct, and I'd have to change my mind about a bunch of stuff." I am doubtful of this and don't see that the social construct theory implies much leftist political philosophy.
If gender is a social construct, that doesn't mean it doesn't exist. Social constructs exist and matter. They can't be instantly or trivially changed or gotten rid of. Culture and memes are important.
This issue is complicated by biological differences between the genders for e.g. muscles. Men are stronger on average. The difference is significant. Reasonable people don't deny that. Try to focus your answer on basically intellectual differences, personality differences, behavior differences, mental differences, etc., which are the things that might be cultural.
Note that the anti social construct view claims that genes influence gendered mental traits, but do not fully determine them. They think a mix of biology and culture leads to gendered traits. They don't claim it's all biology. The social construct view, by contrast, denies the role of biology. It rejects the mixed factors view in favor of a single dominant factor.
For people who think gender is a social construct, I have similar question: What (classical) liberal ideas do you think that contradicts, if any?