An examination of voting behavior from the last five presidential elections makes the vast difference vividly apparent. Yes, religion is a more important analytic lens than is generally appreciated.
From an apostolic exhortation by Pope Francis: Some people continue to defend trickle-down theories which assume that economic growth, encouraged by a free market, will inevitably succeed in bringing about greater justice and inclusiveness in the world. This opinion, which has never been confirmed by the facts, expresses a crude and naïve trust in the goodness of those wielding economic power and in the sacralized workings of the prevailing economic system. Meanwhile, the excluded are still waiting.