Good point - and a graphic example of how religious beliefs (especially those that claim religion and politics shouldn't mix) influence political actions. Worth noting is that the movements (and more) that you mention all began or took root within a single geographic region, namely the Hudson River Valley. This region is sometimes referred to as the "burned over district" by religious historians. Unitarianism, Mormonism, Seventh-Day Adventism, Restorationism, and a number of other movements (including Charles Finney's "Second Great Awakening" revivals) all sprang up or hit this same area within a span of a few decades. Finney himself coined the phrase "burned over district", evoking the image of forest fires exhausting an area of all flammable material, because it's inhabitants were repeatedly exposed (and became resistant) to his revivals.
This part of western New York became famous after the Erie Canal for its history of revivalism, radicalism, communitarian experiments. It was fertile ground for new ideas to take root and spread to other parts of the country. It became a "psychic highway" for New Englanders who left the East and headed West in search of new ways of life....-- Excerpt from The Burned Over District
The Wikipedia article indicates that the burnt-over district was in western NY, not the Hudson Valley. However, one of the "leaders" who emerged in upstate NY, Jos. Smith, was born in VT. People started to leave northern New England as soon as better agricultural lands were opened up to the west. Wacky New Englanders eventually settled much of the upper Midwest and even the Northwest, down to San Francisco, where liberalism has long been strong.