What a crock, no the Evangelical movement and Jesus Freaks did not become Catholics and Orthodox, they stayed Evangelicals.
As far as Dylan's politics, we don't know, the only candidate favorite that he has named was Goldwater.
I have met many “Jesus People” who became either Orthodox or Catholic.
The problem with that movement, like all Evangelical movements, is that it depends on enthusiasm, and once the enthusiasm has evaporated, there’s no structured place for people to go. It all depends on a charismatic pastor, and if they didn’t have one, they went to the more stable, long lasting, historical structure of the Catholic or Orthodox Church.
Amen to that from a former member of the Jesus People movement. Only two of the many, many people I fellowshipped with back in the day reverted to Catholicism. Most of them are still Bible-believing Christians today.