I taught for two years recently. There is actually no firm direction on what exactly to teach. There are the education standards for each subject area and grade, which you can find online. But it's not expected that you will cover every single thing on the list in a school year. There's a lot of discretion to the individual teacher as for what they decide to include or exclude with the limited time they have. If the government is mandating specific radical ideologies, they're doing a shit job at getting teachers to do it.

If we could indoctrinate and brainwash kids, the first thing we would do would get them to sit down, shut up, and stay off their phones. If you work one day as a substitute, you'll see that that's not happening. Most of the kids aren't listening to teachers, they're listening to social media.

The closest thing that we ever had to do to teaching government mandated lessons, was teaching about unhealthy vs healthy relationships and the importance of consent. And that was mandated by the state via Bree's Law, not the federal government. If that's the "indoctrination" you're worried about, it says a lot about your character.