Women are more Jewish than men. They clearly require NONE of the things mentioned (i.e. tzitzis, yarmulkes, davening in a minyan, OR bris) because they are more Jewishly complete without any of those things. MEN OTOH, need all those things, to strengthen their connection to Yiddishkeit. And no Jewish man produces a Jewish child WITHOUT a Jewish woman. The converse, however, is not true.
Not every descendant of Avraham Avinu is Jewish. he also had a Yishmael.