I don't think schools have a grand scheme to indoctrinate and train kids to be uncaring competative automotons. However it does happen.
Mostly the schools are run with policies for the convenience and well being for those who run the schools. Stand in line quietly and march is usually the first group drill.

There are great examples of no put down programs that help curtail conflict and help resolve conflicts. This is real work as Peter says.

There are also Zero tolerence and police state tactics practiced in schools.