I can see the development of this app in 4 different ways. The first (not necessarily the more likely) is that somebody thought "There's probably someone out there who is attracted to the same sex, but doesn't want to be that way. I'll make an app to try to help that person", and then they found out how tragically awful they were at picking names. In that case, it's a misunderstanding. All that comes from the incident is more proof that people react quickly and violently whenever homosexuality is discussed.
The second is homophobia, which seems to be the immediate assumption of people on these forums. It's completely possible that the creator of this app simply haetz teh gayz. If that's the truth, then we all know how to handle trolls.
The third is a belief that homosexuality is wrong, but instead of immediately condemning homosexuals, this person tried to play Missionary to the Gays, and contemporary culture labeled him with another "-ist" or "-phobe", as it is so quick to do. I don't think that's what happened, but if it is, then contemporary culture is not nearly as tolerant as it believes itself to be.
Personally, I believe this was a failed attempt to cast a large, popular company often associated with the left wing to be radically intolerant of anything besides spoon-fed Socialist, atheist, amoral, hippie, homo, yuppie... you know how the reactionary right would have reacted. The guy is trying to save the sinking ship of his smear campaign. This is pretty much the only topic today that cannot be proven "right" one way or the other, because it is entirely a personal belief. Since he is with a Christian group, there's nothing to be said about him that hasn't been said before, so he really had nothing to lose in the attempt to make one of the most well-known companies of the day look like it's run by Marx's great-great-grandchildren.
Apple was kind of hamstrung by its own customers in their decision to remove the app. If the wrong person had seen "Gay Cure" on the App Store, then it could have caused a shitstorm among the overwhelmingly left-leaning youth making up a large section of their consumer base. Considering that Apple is a private entity with complete control over what goes into its store, it was demonstrably 100% justified in taking the app down. If it wanted, Apple could take Angry Birds off of the store. If it was conclusively shown that profits would increase by doing so, then it would disappear. There is no issue of Constitutional rights here. Someone before me said that the First Amendment only applies with regards to government entities, and they're completely right. Try spouting anti-gun rhetoric at a firing range. See what happens.
To offer a final opinion, I'd say the best thing to do here is ignore this. I don't usually endorse ignoring anything, but this would just be butting heads again in a debate that will endure until every last human is dead.