If it's what the US calls Public School, that's all very true and it's why children get bused all over Los Angeles, with various strategies to combat the history of redlining.

For instance there are Magnet Schools in affluent neighborhoods where the wealthiest of the local kids go to private schools, drawing kids with specific interests and/or skills from less affluent neighborhoods to help keep the school open for the local public-school kids.

In my experience the racial groups tended to socialize separately anyway, but I'm old, hopefully that's less true. And even so, at least you don't have kids growing up who've never met a different-color person.