Antonio, one point of contention with your take is that in most ways the Amish do reject the basic premise of living in a shared society. They don't vote, they don't serve on juries, they aren't drafted, and they don't buy health insurance. They depend on non-Amish institutions in a lot of ways, and they do business with outsiders, but their way of life requires separation.
(All of that almost seems besides the point when you're arguing for their shared participation in a system of education that does not exist in the United States. Any group with the resources to keep its children out of our schools is probably doing them a lifelong favor.)
Actually, many Amish do vote, and pro-Trump PACs made a heavy investment in them in Pennsylvania this cycle.
http://www.foxnews.com/politics/2016/11/07/super-pac-hoping-amish-voters-will-make-election-day-gop-barn-raiser.html