That’s an excellent example of somebody misrepresenting what Cain said. That’s exactly the kind of garbage we have to look out for.
The transcript of the actual interview has been posted here, and it is clear that Cain’s response was to the question of whether he would want his raped daughter to raise the child as her own. Cain told Morgan he was mixing the issues and that the family would have to decide that. When Morgan said it is important to know what he thinks about the issue because he might turn his opinion into policy, Cain said that government shouldn’t be making that decision (keeping the child versus putting the child up for adoption) for everybody else.
That’s all. But if people take the comments out of context (as the source you gave me did) they can twist it into something convoluted.
And I have to question the motives for anybody who does that. The Iowa Republican is now on my very questionable list.