I used to do quite a bit of bicycling in Lancaster County, PA, where there is a high concentration of Amish. What frustrates me about the non-rubber tire Amish, is the degree to which they damage the local roads. There is a lot of obvious damage to the roads from driving their metal-wheeled tractors on the asphalt on hot days, in direct sun. This makes many of the roads at the least, annoying to bike on, but at worst, actually dangerous. Also, this speeds the degradation of the road surface, causing the need for repairs or repaving to occur sooner. The worst part of this, is those doing the damage contribute the least to maintaining the roads, as the obviously pay no road-fuel tax, and, as I understand it, pay very little in the way of any taxes.
I personally feel that metal-wheeled vehicles should be legally banned from driving on, or across public roads, due to the damage that they cause.