Haven't read other people's replies so not sure how they've interpreted the question, but to me it depends how you look at it.
Yes, on the whole I do feel equal to my dh. I have always earned more than him and for several years was the (main or only) breadwiner in the relationship while he was a student. He does at least his fair share around the house, cooks most nights, washes up etc. We each have our own strengths and weaknesses but we know one another well enough to work around them most of the time. (He keeps track of the family finances because I'm crap at that - not that I overspend, I just don't keep records! I keep track of school events/Brownies/Rainbows/homework/PE kit and so on.) I don't feel dependent on him, and I am aware that I could live without him... I am with him because I choose not to (if that makes sense.... I don't feel 'stuck with him').
At the same time, I am aware that he is physically stronger than me, and I do sometimes feel slightly 'bullied' by his very 'strong' (read: stroppy) character. I stand up for myself a lot more now, though, than I did, say, 10 years ago, so by the time I'm 60 or so I should've got that bit of our relationship sorted too ().
I do believe that women and men are naturally different from one another. But I don't think that should stand in the way of equality. 'Equal' does not equal 'identical'.