It's important to at least conceptually, if not linguistically, distinguish classical liberalism and neoliberalism.
It's hard to argue with your points when every instance of "liberal feminism" is read as "neoliberal feminism", given the particular style of approaching liberal values taken by neoliberalism (which, in some cases, is to simply ignore them in favor of, say, money and power). I think you overstate the role of patriarchy and understate the role of capitalism (the reason women end up doing the same things as men is not that they are taking a patriarchal role but that the roles are demanded by capitalism whether the agent happens to be male or female--it just works), but that distinction is mostly inconsequential. You get the whole package with neoliberalism.
However, it's much less clear that classical liberalism is (necessarily) harmful to women. The core values of equal rights (voting, pay, jobs, etc.), individualism (abortion/family planning, choice of role, etc.), and liberty (you get to do those things) have been extremely important for all of the progress for decreasing harm to women compared to many previous societies.