No, equal rights for women is not the same as equal rights for everyone. That's a re-hash of George Orwell's "All animals are equal but some animals are more equal than others".
Equality is symmetric and until feminists recognize that, they continue to lose credibility.
And of course, not only do I believe we should have equal rights, I also believe we should have equal responsibility.
Clearly, when it comes to reproduction, due to the nature of biology, "equal" needs to be replaced with "fair".
For instance, I believe that both men and women should have the right to NOT be parents, even in the event that there is a pregnancy. That means very different things depending on whether you are the mother or the father, but the net-net should be the same.
She has the right to abort. He doesn't have any right to stop her.
He should have the right to say "OK, you can continue you to term, but you have no right to expect me to be any help what-so-ever."
Just because she has a belief system that abhors abortion doesn't mean she should have the right to expect him to pay for HER inability to keep her legs closed any more than he should have the right to expect her to bring a baby to abortion that she doesn't want just because his beliefs abhor abortion.
No feminist will agree with the above because it means that women would have to give something up which they never Never NEVER have agreed to. The result of feminism is to ALWAYS improve things for women (or at least in their minds to improve things for women) and they can cite no evidence to the contrary. It is NEVER OK to make things worse for women to improve things for men. Ever.
This is what allows people to say such trash as "Making things equal for women IS making things equal for everybody".