Then go walk outside then without a shirt or bra. Mosey up to the store and buy a Slurpee or something. And when you come back, tell me about how they aren't equivalent.
That's actually a good example of how not everyone is equal. If you can go to the shops without a shirt on why can't I?
But by extension, if you're egalitarian aren't you by defintion a feminist? If you believe in equality for everyone, you believe in the equality of the sexes.
I'm not an advocate for women's rights. I'm an advocate for people's rights. I don't distinguish whether a person should be treated a certain way because of what is between their legs. For example, when it comes to the issue of rape, I feel very strongly about it and it was an issue that came up a lot back when I used to say I was a feminist and was a part of many feminist groups, and every time it did the fact that women are not the only victims went entirely ignored and any victims other than women were totally disregarded. The idea of finding a way to help put a stop to rape became not about stopping rape, but about stopping men, despite the fact that not all rapists are men. I feel that this and many other issues (including the equal pay issue) are hindered by feminisms total prioritisation of women.
There's also that I feel that what feminism is has changed. I don't think it is about equality any more. I think it is just about helping women, whether they are looking for equality or not. If the majority who call themselves by a label use a different definition, doesn't that definition change? It certainly has in many other cases.