http://www.youtube.com/watch?v=_eAJDQ_SgDk
They need some new dna introduced into their very closely related gene pool. I don't think many from the outside world are converting leaving a very narrow gene pool.
Perhaps it wouldn't be such a bad idea if some of these youths got pregnant durring Rumspringa(Amish Wilding durring youth) thus killing to birds with one stone.
http://en.wikipedia.org/wiki/Rumspringa
Rumspringa ( IPA: [r?m'spr???] , Pennsylvania Dutch: [r?m'?pr???] ), also spelled Rumschpringe or Rumshpringa, is a period of adolescence for some members of the Amish community during which a youth temporarily leaves the community to experience life in the outside world. The Amish, a subsect of the Anabaptist Christian movement, intentionally segregate themselves from other communities as a part of their faith. The Rumspringa normally begins around the age of 14 to 16 and ends when a youth chooses baptism within the Amish church or instead leaves the community. [ 1 ] :10–11 The vast majority choose baptism and remain in the church. Not all Amish use this term (it does not occur in John Hostetler's extended discussion of adolescence among the Amish), but in sects that do, Amish elders generally view it as a time for courtship and finding a spouse. [ 1 ] :14