We live in a culture that preaches about "conformity", being "manly" and "ladylike", and justifies stereotypes and roles that make no sense to begin with. Males are told to let their wives or moms cook, even though many of the greatest chefs throughout history have been men. Females are told to be subservient, that they can't work, that they should strive to be "dainty".
Boys have literally been bullied to death for being gay, or even for being a little bit "girly". A good example of this is Seth Walsh from CA.
Boys and girls are told by their parents and peers what colors to like, what music to listen to, what clothes to wear, and even what foods to eat.
Society is too gender specific and sexist but not in the way most people think. The most sexist individuals are usually the ones going on and on about equal rights for women. When I listen to these people talk they are not looking for equal rights. They are looking for special rights. There is a huge difference.
Men and women are different biologically, which predicates certain aspects of social development. As such, many things will develop in gender specific formats, right down to cutting razors differently for different shaving purposes.
To say it is 'too' gender specific or 'too' sexist is a bit too broad to answer well, i think. While I would say that there are ways we can still shift our way of thinking, I would disagree with the 'too'. Social structures are what they are, and they shift as needed. Sometimes for the better, sometimes for the worse.
In most cases, the level of 'sexism' and 'gender specificity' is actually beneficial overall. Men and women gravitate to things that they are better disposed to doing for whatever reason. Whether you believe in this as a biological determinism point, or simply a natural development of social roles and tendencies, most of the divisions are by choice, with no obligation, making it hard to make an argument that it is 'too' anything.