Depends on your branch of right wing. Some right wing governments (e.g. Nazis) have ben very in favour of the government being able and duty-bound to oppress people.
No, it was the Nationalsozialismus party. "Schoolhouse" isn't a type of "house", and Nationalsozialismus wasn't a socialist party. Their main political enemies were the Communist Party and the Social Democratic Party, both left wing.
That was written in 1920, before they even adopted the name "Nationalsozialistische". It's better to look at what they did while in power. About a year after getting power in 1934, was the Night of the Long Knives when the party assinated the more left wing higher ups in the party who wanted wealth redistribution.
