well, there is this: the belief that there are fundamental inequalities built in to a capitalist society because power and capital are distributed unevenly. Thus, it's not enough for women to individually work to rise to powerful positions in society; rather, power needs to be redistributed throughout society.
and there is this: the need for dramatic social change in order to achieve genuine equality for women. Radical feminists believe that society is extremely patriarchal, and until patriarchy is transformed on all levels, the system will remain unjust. A minority of radical feminists are separatist feminists, who believe that men and women need to maintain separate institutions and relationships.
if feminism today were all about "equality" like you say it is, feminists would not hate Sarah Palin... in fact, they would admire her... she picked herself up by her boot straps and worked her way from the PTA to Governor of Alaska, to VP nominee... she didn't benefit from her husband paving the way for her or from any other relationship... (as Hillary Clinton did benefit from her husband)... but they can't stand her... why? because she's not a socialist... she's not pro-abortion... worst of all, she is a Christian... wife and mother...