There are certainly physical differences.
There are certainly emotional differences,
IN GENERAL.
Not every woman is muscularly weaker than every man, etc.
Would it not be surprising if there were not intellectual and cognitive differences as well?
The question is, what are the general differences in intellect, emotional tendencies, intuitiveness, etc. Pretty hard to define, pretty open to differences of opinion.
What do Chazal say about this? That’s what matters to me, not what would make me happy, or what would conform to my little american mind, of which I am so proud.