My experience is way out of date, but traditionally there was a lot of homophobia among latinos. I heard a story about some Mexicans stopping a black guy from raping a white guy in prison. The Mexicans had no love for the white guy, but their homophobia trumped everything else. I believe the story about the evangelicals pushing for repression of LGBTQ folks in Cuba. But they probably had an easy time convincing the Cubans. Catholicism is deeply rooted in Latin America, and this is an issue the Catholics and the evangelicals agree on.