The "western world" has gradations. Women in the US are not treated as nicely as women in the rest of the advanced western world. The social services, including pre and post-natal support, etc.
Women are different in some ways, right guys? Physiologically they have different needs, and as mothers as well. That's why women, over all, have different priorities than men in regards to public policy. Men tend to focus on law and order, aggressive foreign policy, guns, strong whatever, etc. Women are affected by how strong the social safety net is, and thus they care more about family planning, social services, day care, health care, education, care for the elderly, etc.
But, do you see any problems with that in the US? I mean, it's not exactly even plane for women and men of the same socio-economic level as far as opportunities and treatment.
Example: health plans cover Viagra but not birth control (the ACA forced plan providers, but this is being rescinded under Trump).
Example: There is a big swath of conservatism in this country, where gender roles are still stuck in the 19th century. The view that men are for business and women are for housekeepers. Men are assertive, women are bitches. What do you think the reaction would have been if a woman had come for a debate unprepared, having to explain "grab 'em by the cock", and, she brought to the stage her 5 children from 3 different men. Somehow I think she'd be treated differently than...
I want to agree with you and women have same liberties. They do in constitutional ways, not in reality, as laws are applied or how society treats them. However, I'm glad to hear that you are for equal rights and treatment.