The premise of the movie is that smart people stop having kids and dumb people have lots. It's "reverse eugenics"

The ugly thing about eugenics is that someone has an artificial ideal of how people should be and then tries to enforce that. If something just happens without interference (a process), that's basically just evolution.

But it's a proven fact. Less educated people are poorer. The less educated tend to have more children. And children who grow up in poor families receive a lower quality of education.

Yes but this is not the genetic argument this is a "school system sucks" argument

In every country, if your parents are scientists, you will be in average smarter, than if your parents are peasants.

Woah, woah, stop right there with your facts Mr. Eugenics. /s

Is that because of some heritable presence/lack of intelligence or because scientists feed their children well early in life, have books in the home, and take the time to follow up on their children's education?