That is shown to be false by all voting data, the number one indicator of how people vote is by their level of religious devotion, the left is made up of the non religious, the right is the most devotedly religious portion of the population.
I’d like to hear your sources, because you are blatantly wrong. If you’re going to make a claim that a published, reviewed and sourced author is wrong, you’d better be able to back it up. Otherwise I’m going to assume your “data” is confirmation bias and wishful thinking.