The Amish are actually quite comfortable with modern technology. The heart of their beliefs about it is that they shouldn't connect their homes to the outside world, hence why they're not on an electrical grid (they use refrigerators but they're gas powered) and that a thing should not be adopted unless there is a conviction that it doesn't come between themselves and God as well as their neighbors.
In their places of work they use power tools all the time (run on batteries or generators on site) and quite a few of them have set up websites (using PCs with dial-up modems). They wont use cell phones but they do have landline phones around, kept in sheds that members of the community can go and use in case of emergency etc.
An accurate image of the Amish in the Star League era and beyond might be a people still wearing subdued colors and straw hats, living in simple houses with no electrical power, an old fashioned barn out back with horses and cows to milk at 4 am, and a small industrial Mech (running on gasoline) under a tarp for larger jobs.
