Six of One
Having been there, done that, the Eastern Religions thing in the Sixties was pretty much a marginal fad. Oh sure, there were fashions in clothes and music and slang, and you had the Hashbury flakes, but underneath, atheism and secularism was what the whole countercultural-youth "revolt" was based on. It was just never spoken aloud because Mom and Dad were churchgoers who wouldn't be happy if Dick and Jane went THAT far.
And, as noted, after the political rebellion flamed out after Kent State, everything from Jesus Freaks to Hare-Hare prospered.
What you would need would be a more philosophical and vocal rejection of religion, sufficient to make it acceptable to a majority of the faddish "revolutionaries". (Nietzsche for choice, were he not tainted with an unjust association with Nazis.)
And what might happen is to advance a lot of current trends in social and political activism.
Or not.