I'll bite. I hate anyone that supports an organization bent on not only excluding, but socially damning minorities for their inherent (re: god given) traits. For the same reason I hate anyone that confesses support for the KKK, even if they're not a member (and mind you, that is not a hyperbolic comparison at all. The church is guilty of much worse).
How do you not understand this? Regardless of what good your church is doing, it does not excuse the terrible evil it does to so many on this planet. Hell, the Catholic adherence to the ludicrous policy of "abstinence only" has contributed to >1million deaths in africa in the last year alone, given their "charity" is so prevalent in the areas that need it most.
I don't give 2 shits if you have friends that happen to be good Christians or good Mormons and have never done physical wrong. They're still shitty people for supporting that organization.