Later Santorum was reportedly asked if he thought Obama was a Christian and Santorum said that if Obama claims to be a Christian, he is a Christian. My understanding is that Mike Huckabee has the same position.
I have a different view. In the New Testament, the little letter of Jude issues searing denunciation of those who pervert the grace of God into immorality. The author of Jude compares such people to demons who rebelled against God's authority, to the residents of Sodom and Gomorrah who were condemned for their homosexual behavior, and to Baalam who advised Israel's enemies to subvert Israel through sexual immorality. The author promises eternal damnation for such people.
The author of Second Peter pronounces similar condemnation on false teachers who, in teaching such "shameful ways" are actually "denying the sovereign Lord who bought them" (2 Peter 2:1-2). The author specifically mentions the condemnation of Sodom of Gomorrah in his letter also.
During his ministry, Paul also had to face those who perverted his teaching of grace into evil. Following Jesus, Paul says "their condemnation is just (Romans 3:8; cf. Matthew 7:15-23).
There can be little doubt what the authors of the letters of Second Peter and Jude would have thought of a President who, while claiming to be Christian, aggressively pushes--through government coercion--policies which promote behavior that Second Peter and Jude condemn in the strongest possible terms.