Moderate Right:
Should students also be taught to be very skeptical about right-wing issues and ideas espoused by so many Americans? To me the answer is not to programme students into rejecting any ideological position but rather to give them the knowledge, skills and apolitical guidance to come to their own decisions about what they should believe or reject on the right-left spectrum. Student psychology being what it is, teaching kids to reject a group of ideas is the best way to make those ideas alluring to young and rebellious minds. If you want to radicalise your youth tell them they can't believe in something and watch them flock to that political camp.
I would also like someone, not necessarily you, to define what Americans mean by "extremist left-wing ideas". Is environmental activism to protect a quality of life for future generations of Americans a left-wing idea? Are anti-militarism and anti-imperialism and opposing excessive military and national security spending left-wing ideas? Is wanting to protect millions of illegal immigrants in the USA from highly disruptive and arbitrary mass deportation leading to social upheaval in both America and in the countries they are expelled to by the millions a left-wing idea? Are wanting comprehensive and low cost health care that covers all Ameicans and fully-funded public schools which teach students of all descriptions and income levels to a satisfactory level left-wing ideas? To me left-wing means socialism, Marxism, Communism, Stalinism and Maoism for the most part. Things like feminism, wider gender issues, environmentalism, anti-militarism, and building public social infrastructure to protect and educate Americans are not left-right issues but social issues with no political lean on the spectrum of left or right.
Cheers.
Evilroddy.