Answer: probably there is a good overlap between the faithful and those who do not believe Obama has earned reelection.
Question: why do you think that following a religion (for example, Islam, which believes in spirits such as the ones you describe) is a disqualifying factor for ones' political judgement?
You raise an interesting point about followers of religion and their mindset.
IMO - a mature person uses religion to help him make moral choices in life. He uses his faith to 'correct course' on a daily basis. He knows that religion is a man-made construct to help him connect with the spiritual.
However, people who believe in the more fantasy and magical elements of religious doctrine, they lack an adult maturity and intellect They straddle the Freewill Fence, if you will. They need to believe in magical forces manipulating their universe as way to explain shortcomings, injustices, and everyday science.
The concept of an angel is an extension of the pagan notion of spirit or fairy--a winged magical being that can effect your life. Children believe in them, and that's fine. But when adults believe in magic as a way to explain events, they are like children who need to have the complicated and chaotic world explained to them. People who believe in angels are, IMO, so intellectually lacking and immature, that they rely on organized religion to direct them and make decisions for them.
Their Mega-Chuch is their Nanny-State.
The problem is this Mega-Church-Mommy who explains the big bad world with fairy tales has inserted itself in the public discourse and public policy. A single-issue religious voter is giving up his freewill and his right to consider all the complicated issues us adults consider when voting. A voter beholden to voting according to the will of his religious leader has given up some basic freedoms. They have surrendered their right to think and ask questions in exchange for a sense of order and a reassurance that magical unseen forces will make the world right.
This is not a disqualifying factor. I didn't say that. I made the comment as a way to ask, what does that 'belief in angles' survey tells us about the American voting public? Voting is a choice, a decision--ideally one that should be made with mature critical thought.
Conservatives will complain about under-educated minorities voting Democratic, the voters who lack adult maturity and will rely on some form of public assistance for most of their lives. However, there is a percentage of right-leaning folks who are not intellectually smarter than the urban voters they hold in contempt. The urban Democrat who relies on welfare and a 'Nanny State' is similar to the GOP voter who believes in angels, relying on invisible magic beings to protect and comfort them.
Bottom line, we CAN NOT disqualify either from voting.
Note: I realize there is some overlap here, some black Baptists who vote Dem believe in angles, too, etc.