I really don't know anything about the Amish. I was curious since you refer to their system as socialism, do they have a tax and redistribute the wealth centralized government? Under socialism, those who don't work or don't work as hard are theoretically supposed to earn the same share as those who don't.
Definitions of socialism from rushlimbaugh.com -
"A system of society or group living in which there's no private property. A system or condition of society in which the means of production are owned and controlled by the state."
"A stage of society in Marxist theory transitional between capitalism and communism and distinguished by unequal distribution of goods and pay according to work done."