“What side of the road someone drives on" is not a bad example of a benign indoctrination. Everyone has to agree to avoid accidents, but which side we all agree on doesn’t really matter, as long as we agree on a side. But not all indoctrinations are benign.
“Money has value" is a counter example. Its obviously a made up thing, a consensual hallucination we all have been indoctrinated to believe. But if we stop believing it, it would be tremendously damaging to our society, because the economy would break and our system of economics would backtrack 3000 years.
More importantly, if our country decided to disbelieve in money, and another society didn’t disbelieve, they’d rub us out, Darwinistically.
So some of these indoctrinations are extremely important.
The culture war is about groups of people who view indoctrination X as being important to the success of society, and indoctrination Y as severely damaging. Or the opposite. And some might be right about indoctrination X or Y. See: money.
Where I fall in this mess, is I think we could resolve these wars with analysis. I think an honest impartial appraisal, based on efficacy, could be applied to X or Y without all the fighting.