It is the men that are separated from the women, not the other way around, in shul. The orthodox think that the men will be distracted from their prayer if they see women (since we all know, orthodox women are so HOT), so they are the ones separated. And in those synagogues that do separate (the orthodox) women are not equal at all, whether they're wearing a tallit and kippah or not, they still don't count for a minyan, which means inequality. Women aren't wearing tallit and kippah in shul to "make people realize" anything. It's just what feels right for them.
It is the men that are separated from the women, not the other way around, in shul. The orthodox think that the men will be distracted from their prayer if they see women (since we all know, orthodox women are so HOT), so they are the ones separated. And in those synagogues that do separate (the orthodox) women are not equal at all, whether they're wearing a tallit and kippah or not, they still don't count for a minyan, which means inequality. Women aren't wearing tallit and kippah in shul to "make people realize" anything. It's just what feels right for them.