What is Feminism's Role in LGBT Rights?

I was educated in the third wave of feminism. Women's studies was moving toward Gender Studies. We read Backlash AND Stiffed; For Her Own Good AND The Hearts of Men. We discussed the crisis of masculinity and the differences between "hermaphrodite" and "intersexed" alongside patriarchy and objectification. I took an entire class based largely around one of my favorite quotes, from Judith Butler: "Gender is a kind of imitation for which there exists no original." Because of this, I see large parallels--and more than parallels, overlaps--between the women's rights movement and the gay rights movement. 

It's also safe to say that feminism largely influenced many of my feelings on gay rights and gay culture, as I believe no one should be judged, outcast, penelized, abused or otherwise marginalized because of who they are and, more specifically, genetic factors they cannot change, whether that's the presence of an XX chromosomes or an attraction the members of the same sex.
 
Incidentally, I'm currently compiling quotes from women about whether or not they call themself a feminist and why, so I've been doing a lot of thinking about what it does or doesn't mean to be a feminist today. What if you're pro-life? What if you like to make dinner for your family? Is there a checklist of issues that you need to agree with (a purity test, as some might call it)? 
 
Reading through the comment's Alicia's blog--which ranged from merely ignorant or misinformed to outright homophobic and hateful--I was affirmed in my personal belief that modern feminism needs to continue and increase its support on the issues in the LBGT community.

Feminism certainly hasn't been mute on the subject. NOW lists Marriage Equality as one of it's important, though not key, issues. The Feminist Majority Foundation (publisher of Ms. magazine) was a vocal and active opponent of Prop 8 and fights for marriage equality; Ms. magazine also updates news on marriage equality, hate crimes and other LGBT news.
But is it enough?

So many issues at play (the right to privacy, the need for interpretations of religion to be kept out of laws, the right to keep the government out of your personal and private decisions, the breaking of traditional sexual norms, gender roles and definitions, on and on) criss-cross back and forth between the women's movement and LGBT movement. The gay rights movement is redefinining gender in America today just as much as the second wave of feminism did in the 1960s and 1970s. When conservatives and Mormons joined hands, they passed Prop 8 in California. Think what we could accomplish if feminism and the LGBT movement joined forces.

I think many women today distance themselves from the word feminism because it's often (presumably negatively) associated with the politically-motivated movement of lesbian feminism of the 1970s. (Of course, now the association is stripped of all its social-statement intent and is more often interpreted as, more simply, "a man-hating lesbian feminist.") And I admit, I can't stand this association--but only because it's an inaccurate portrayal of mainstream feminism today. But far from further distancing ourselves from it, I think to move into the next stage of feminism, embracing and fighting for LGBT rights is imperative. After all, isn't fighting for equality what feminism does best?

But that's enough from me now. What do you think?