No, more the “Church of Social Justice and Gay Marriage”. The one that has a false bible where the woman who escaped stoning was told “Now go and sin some more”.
What does Fred Phelps actually believe? It is, somehow, even weirder than you expected:
In fact, it appears that Westboro has created not just an incredibly vulgar and non-Christlike approach to homosexuality, but that it's working on a new religion altogether, complete with new scriptures.
Members of WBC generally avoid the name "Christian" when referring to themselves, preferring the mysterious term "Tachmonite."
The Tachmonites believe Phelps is "the last prophet," with the power to determine who will be damned and who will be saved. They themselves, as followers of Phelps, also have the power to condemn souls to hell. Most people are destined for hell, but "Good Samaritans" who help the Tachmonites (for example, police officers who prevent counter-protesters from assaulting them) may be offered an indeterminate "reward" for their good conduct.
They've written their own scriptures, which are divided into two categories: "delectable epics" and "letters to heretics." The "delectable epics" (the term is the group's) are based loosely on Acts in the New Testament. The epics detail the Tachmonites' various protests against gays, President Bush, Elton John concerts, and the military and portray the Tachmonites alternately as invincible "super heroes" and defenseless victims of brutal rage. Some of the epics are in prose, and some in poetry.
And there's more (at the link).