To be more exact, there is no evidence that historical Luddites were ideologically opposed to machine use in the textile industry. The Luddites seemed to have been primarily concerned with wages and labor conditions, but used machine-breaking as an effective tactic. But to the extent that Luddites did oppose to machines, and the way we did come to understand the term Luddite later, this opposition was markedly different from the way Amish oppose technology.
The Luddites who did oppose the use of industrial textile production machines were opposed to other people using these machines as it hurt their own livelihood. If it was up to them, nobody would have been allowed to use these machines. Alternatively, they would be perfectly happy if their livelihood could have been protected in some other manner, because that was their primary goal, but failing that they took action depriving other people from being able to use machines to affect their livelihood.
The Amish, on the other hand, oppose a much wider breadth of technology for purely ideological reasons. But they only oppose their own use if this technology. The key point here is that the Amish live in a world where everybody around them is using the very technologies they shun, and they do not make any attempt to isolate themselves from this world. The Amish have no qualms about using modern medicines, and although they largely avoid electricity and mechanized transportation, they still make significant use of diesel engine-based machinery, especially for business purposes and they generally don't avoid chemical fertilizers or pesticides either.
So if we want to say Amish are commercially successful and their life is pretty good, we have to keep in mind that they aren't a representation of how our society would look if we've collectively banned all the technologies they've personally avoided. Without mass industrialization, there would be no modern healthcare that would eliminate child mortality and there would be no diesel engines, chemical fertilizers and pesticides that boost crop yields and allow family farm output to shoot way past subsistence level.
In the end, the only lesson that the Amish teach us is that you can selectively avoid certain kinds of technologies and carve yourself a successful niche in an wider technologically advanced community.