Feminism as a movement certainly has a religious
component and yes, many feminists are religious.
Given both aspects, I think this gives you a general
answer to your question. Historically, I think
that feminists had to distance themselves from
organized religions, because that was seen as
a conflict with their feminism, but over time,
feminists have realized that these religions need
to be changed from the inside out and that different
interpretations exist, therefore, it is in feminism's
best interest to create a space for these interpretations
to come to the forefront as well as for feminists
to take their feminism to their religions, rather
than assuming they must leave them.
Auborn Theological Seminary, which is based in
New York City, has more information on this. Also,
you might want to reference Catholics for a Free
Choice as well as the work of Karen Armstrong.