My initial reaction would be that the websites you've visited are just blindly lumping everything that they don't consider normal (genetically correct hetero male and genetically correct hetero female) into the big "abomination" category.
IMO, this is crazy. Sexual deviations, in the hetero vs. homo, pedophilic, and..... why can't I think of the word for "sex with animals"?..... ways, are listed as abominations in the Bible. But to lump genetic mutations, like being born with both sex's reproductive organ, makes no sense. Sexual deviations are a choice - genetic mutaions are not. In the Christian mindset, they are a result of the sin of Adam; they are not a sin in and of themselves.
Granted, the situation may be very difficult to handle as far as how do you tell a mutated child what has happened, and what sex do they choose if they are half of both...... my head hurts just thinking about it..... but to say that people who have genetic sexual mutations are committing an abomination before the Lord is just not right.