Trump did not provide details on the guidance but said it was "ridiculous" that students in classrooms today are "indoctrinated with anti-religious propaganda, and some are even punished for their religious beliefs."
India-born British-American novelist's book "Satanic Verses" was critically acclaimed but was deemed blasphemous by Iran's theocratic Shiite regime.
Attitudes toward Israel (or its establishment) within the Christian population have varied since the early 20th Century.
"The climate agenda is a lie: fossil fuels are a requirement for human prosperity," Ramaswamy said in one offending video.
The vice president and second lady are raising three children in an interfaith household, but the family attends Mass on Sundays.
Head's debut question at the briefing saw her inquire after the recent trend in violent incidents related to the Irsael-Gaza conflict and whether the president considered them domestic terrorism.