It does explain, or at least backup what the poll suggests.
In GENERAL, the rich (a) don't feel the same need for God and faith as the poorer. When faced with lifes difficulties, the rich have the money to deal with it. Those with less means trust in thier faith. It could be argued that our government wants it that way as well. Every bit of currency tell us "In God we trust" suggesting not to trust in the currency itself.
(B) Luke 16: 13
Jesus said, "No servant can serve two masters.
He will either hate one and love the other,
or be devoted to one and despise the other.
You cannot serve God and money.”
Agreed. In fact, the rich and powerful have always promoted religion because it promoted social control and harmony particularly within the poor and oppressed (e.g. obey your masters on earth and your reward wil be in heaven) - so it gave the poor comfort to know or believe that while life on earth was the shits, they were going to heaven for their reward while the rich and powerful were likely going to hell (the point you made).
My point was - take the religious aspect out of the poll results analysis and you see a very high correlation with earnings (which in turn is highly correlated to IQ and education) and race. That in and of itsel is interesting and begs the question.