First, you need to read about how the Westboro Baptist Church is really just a scam. Their whole angle isn't to hate-on gays and lesbians, it's to make money. They want to provoke people into doing something to them so that the WBC's lawyers can sue them for a lot of money.
WHY THE WESTBORO BAPTIST CHURCH IS A SCAM
Now that you know what they're really about, it's time to fuck their shit up:
There are several petitions on the White House Petitions website calling for WBC to be designated a hate group and/or for their tax-exempt status as a church to be revoked. Sign-up for an account on the site if you haven't already (it's free) and then sign all of the petitions. After you do that, share the links via Twitter, Facebook, Tumblr, Google+ or whatever social media you use.
Investigate the IRS Tax-Exempt Status of the Westboro Baptist Church
Remove the Westboro Baptist Church's 501(c)(3) tax-exempt status, and make it retroactive.
Revoke the tax exempt status of the Westboro Baptist Church & re-classify Westboro Baptist Church as a hate group.
Legally recognize Westboro Baptist Church as a hate group.
Define the Westboro Baptist Church as a hate group due to promoting animosity against differing cultural demographics.
Kansas Department of Revenue: Revoke tax exemption for the Westboro Baptist Church
Westboro Baptist Church: Lose their tax exempt status.
The Obama Administration: Legally recognize Westboro Baptist Church as a hate group.
The Obama Administration: Legally recognize Westboro Baptist Church as a hate group
GoDaddy, Inc, Facebook, Inc, Twitter, Inc, InternetBS.net: Disable Social Networking and Domain accounts of Westboro Baptist Church
Connecticut Legislature: Please write and pass a bill that deters demonstrations at funerals.
Change or take down GODHATESFAGS.com!: Take down the domain or change it!
I'll add more as they become available.