Ezer Kahanoff wrote an interesting article on the relationship of the Sabbatean movement and former Conversos throughout Europe. Kahanoff discusses in part the two dominant trends in Europe at the time in the Jewish community.
One was the a rejection of the belief Divine Intervention in human affairs. The opposite extreme was an embrace of what Kananoff describes as charismatic religiosity with a particular emphasis on prophecy.
The article can be found at the following link: On Marranos and Sabbateans
For an addition review of the Sabbatean influence on Conversos, see Conversos and Sabbateanism.
By Rabbi Juan Bejarano-Gutierrez, the director of the B’nei Anusim Center for Education, and author of What is Kosher?