Photo by froboy.
(A more readable, freely copy-able, version is provided here.) Given that Jesus makes no reference whatsoever to homosexuality, there is in fact a stronger case to be made that God hates figs, in a purely dueling proof-text kind of way. (I'll see your Pauline epistle and raise you two Gospels!) It's fully in the spirit of Westboro's abuse of scripture that the flier pulls text from two different accounts of Jesus rebuking the fig tree.
See also: God hates shrimp.