If you google "Amish electricity" you'll find a lot of weirdness and a few sites that actually address this seriously. It seems to be one of those deals where they decided that the tradeoff between utility and effect on the community was unfavorable.
It doesn't seem to be a matter of objecting to "sharing a system used by the English", it seems to be more a matter of not wanting to be at the mercy of the power company and of concern over sociological side effects.
With regard to the roads, they pay taxes too--there's no downside to the roads other than the risk of getting rearended (at least none that I know of--is walking on pavement harmful to horses?), they've already paid their share of the construction and upkeep costs, and building their own system of parallel roads would, I'm sure, be viewed as prideful, so I don't see why they would want to avoid using the public roads.
When considering the Amish, first make up your mind that they are _not_ crazies. They have reasons for what they do that make sense within their value system, but their value system is not that of mainstream society, and one of their priorities seems to be keeping it that way.
Seems to show that there are some universals--note what technology 95 percent of Amish have adopted--mechanically powered washing machines. And one wonders how many elders' wives' headaches suddenly vanished when _that_ decision was made.