Jonas Yoder and Wallace Miller were members of the Amish religion and did not want to send their kid to school after the eight grade based on their beliefs even though the state requires them to go till they are 16.
The court made a unanimous decision for Yoder saying that the freedom of religion in the first amendment overrules the law set by the state.
It is a protected liberty it is the first amendment with freedom of religion. It is also a fundamental liberty because it is a religion and people have the right to chose what religion they want.
It can cause undue burden if they don't want to go to school. It can help the government if someone from that school goes into politics. It is not the least restrictive means.
This does not pass strict scrutiny because it is a first amendment freedom.
"Wisconsin v. Yoder." Oyez, https://www.oyez.org/cases/1971/70-110. Accessed 30 Mar. 2017.