This video points out data which shows that secular Americans typically do not follow the stereotyped pattern of young people become more rightward-leaning with age, but are also less likely to vote when compared with religious Americans. My guess is that the latter is probably true because those who have a skeptical view of religious institutions are probably more likely to have a similarly negative view of political institutions, and are less likely to take politics seriously. Although I have found that the organized atheist movement tends to be just as gung-ho in its political partisanship (the speaker in the video is an example) as their counterparts on the religious right.
The religious right and the social justice left are virtually identical in wanting to impose their preferred form of moralism on the wider society. For the right, dirty books and movies were always a target of their ire. For the left, it’s the confederate flag and this or that “microaggression.” The right’s pet project in state repression was always the war on drugs, and for the left its’s a war on guns. The left wants to replace the traditional right’s preference for vice raids on gay bars with a parallel bluenose raid on Christian bakeries. There are even areas where the two sides overlap (anti-vice crusaders from right and anti-sex worker rights feminists, for example, or pro-drug war liberals and minority civil rights leaders).