Not exactly New Age, but I could imagine a TL in which Ken Kesey's Merry Pranksters spawn a kind of religion. Maybe if Kesey himself was martyred somehow or the 60s got rough and bloody sooner, before the "graduation ceremony" in which Kesey kind of embarrassed himself and withdrew from the San Francisco community, you could have seen something closer to a lasting spiritual movement come out of it. I wouldn't say it's very likely, though; it'd require a pretty large POD.
If you're interested, The Electric Kool-Aid Acid Test by Tom Wolfe is an excellent account of their adventures and misadventures (don't expect a history book, though, it's a "nonfiction novel" with intentionally subjective prose that seeks to capture the feeling of the Pranksters' lifestyle). Wolfe actually explicitly analyzes it as a religious movement with Kesey as a messiah and the acid tests as communal sacraments.