I think that the Anabaptists would have continued to be a "fringe: sect as they were rather against the idea of a "State" or official religion, were often hunted down and killed by authorities on both the Reformers (Lutheran, Calvinist, etc.) and the Roman Catholic church. Persecution started early on - likely around 1520 or so (been a LONG time since I studied this!). Probably the earliest Anabaptist theologian was Michael Sattler and he was killed in 1527, IIRC. Others, like Balthazar Hubmaier, John Hutter, etc., were usually charismatic and schismatic, with little or no long-term results. Hutter did, however, found what became the Hutterites. Another early leadser who survived, was Menno Simons, from northern Germany. His followers are the best-know of the Anabaptista, and still exist today - the MENNONITES. A sub-group, the Amish, split off from the Mennonites in Switzerland c. 1687 as a result of a combination personality clash and an attempt by Jacob Amman (from whom we get the word "Amish") to keep the church "pure" and refrain from worldliness.
Recommendations for reading/study: The Mennonites in Europe by John Horsch and The Bloody Theater of the Martyrs Mirror by Thielman J. van Braght.
Bobindelaware
Oh, yeah - I graduated from Eastern MENNONITE College (now University).