Conservative religious groups, and Mennonites are part of that, already have a strong distrust of government.

that’s not true. many governments around the world are substantially controlled by people who are members of conservative religions. and lots of conservative religious organizations are well integrated into their relevant governments. to the point of theocracies, which don’t tend towards being extremely progressive.

If you hear about a place that the Catholic Church is controlling party of the government, you don’t think “Oh I bet it’s some wild Liberation Theology situation where the women are free and there are land reforms to redistribute the land equally”. You know it’ll be some regressive, repressive backwards ass shit show.

there were Amish people (a related group) who were charged for not getting a covid vaccine passport

Where? Where has a “vaccine passport” even been implemented?