I think UUism has an unfair advantage here at DU in that it has always been highly politically engaged in a progressive direction. So the questions about progressive social issues have something to do with why you and I ended up with 100% UU matches and everyone else in this thread scored fairly high-- even if their religious beliefs per se are more aligned with another faith tradition.
New Thought consists of three main groups and many unaffiliated authors; and has influenced Protestantism through mainstream and Pentecostal channels. Unity, Religious Science, and Divine Science are all much more individualistic, less focused on social justice, than UUism or Liberal Quakerism. (Similar to their parent tradition Christian Science in that regard.)
All that positive thinking gospel of healthy-mindedness is just fine on an individual basis, encouraging people to take responsibility for their own fates. But when people start to apply the same logic to others' suffering it can be downright cruel and heartless. Mitch Horowitz wrote an excellent study of New Thought a couple of years ago called One Simple Idea. He pinpoints the problematic issue of the "no accidents" doctrine. It might be healthy and constructive to take everything bad that happens to oneself as an individual as a "growth opportunity" or a result of past misunderstandings that can be corrected. But it is very unhealthy and destructive to take the same approach to large-scale social justice issues, blaming poverty on its victims instead of looking at how the deck is stacked against them.
PS-- UUism seems to be the opposite of Quakerism in that the liberal and non-theistic faction has triumphed decisively overall, and I've never encountered anything Christian-focused that bothered me in any of the services in VA and NC I've attended. But further north AND south, one might encounter a stronger Christian element for different reasons. In NY/NJ/PA the Universalist Church was strong, and it was more explicitly Christian than the Unitarians whose base was more in New England. There is still some legacy of this current in the northeast. Sunbelt cities like Houston would more likely to have Christian-leaning UU groups due to the cultural atmosphere. Lots of liberal Christians have felt driven out of mainstream churches in the South due to the rise of rightwing extremism therein. And the UUA has grown as the mainstream Protestant denominations have shrunk. Here is a map of UU growth showing where it is expanding and contracting.
= new reply since forum marked as read