Making love not war:
http://blogs.usatoday.com/ondeadline/2008/08/the-amish-who-r.htmlBirth rates not a problem. Also, the fact that they are pacifistic has long-term strategic benefits (this would take a while to explain, but it has to do with long-term chaotic downstream effects), as long as they are not personally under attack (which might very well change...).
Instead, I think that economic starvation will be their undoing. Already many of them can not afford farms. They will also face increasing intrusiveness of government agencies over a variety of regulations they routinely refuse to comply with.
They also face problems from "traitors". About 1 in 5 of them opt out when they are allowed to decide to do so, and some of the opt-outers have been working with gov't agencies to harass them.