I have aquaintances that are new order Amish. While they are not typically voters, they do love to discuss politics.
I can image that some new order amish vote. I can't believe that old order Amish ever do.
I couldn't quite imagine old order Amish voting either, but I didn't know if the others might. My wife's Menonite relatives don't have a problem with it, but then, they drive cars and use other modern conveniences, too. Not quite the same thing.