People on both sides need to recognize the relationship between feminism and progressivism
It seems to me that there are a lot of people - of all political persuasions - who haven't delved much into what Progressivism is. It is a legitimate political tradition that accomplished much in U.S. history.
Progressives don't bash feminists or sideline women's rights. Women's movements of the twentieth century CAME OUT OF the Progressive movement, particularly women's suffrage, but also economic reforms:
Reforming their World: Women in the Progressive Era
https://www.nwhm.org/online-exhibits/progressiveera/workingwomen.html
"At the end of the nineteenth century, women were considered the "moral guardians" and protectors of the home. During the Progressive Era, female reformers used this ideology to argue that in order to protect the home, women should move into the public sphere where they could exercise their moral authority over issues such as public sanitation and education, which ultimately affected the home. In massive numbers, women joined volunteer organizations to work for reform. Efforts often began at the local level, and expanded to the state and national level. Women conducted research, implemented programs, and lobbied for legislation to address social, political, and economic problems.
Middle-class clubwomen and settlement workers organized to address issues of education, healthcare, and political corruption. Working women organized on their own and in partnership with middle-class women to raise wages and improve working conditions. African American women organized to combat racism and provide mutual support. Together, their efforts led to real improvements in the lives of many Americans."