Culture is both a cause and a consequence. Parents might magically wake up and start talking to their children about the wonders of science. Or they might not. But culture can also be another tool in the government toolkit (e.g. religion).
Your fantasy of an evil controlling nanny state versus the rebellious freedom-fighter parents is just that: a fantasy. Sometimes the government is doing something that should be done, and sometimes not; sometimes parents are doing what should be done, and sometimes not. I think everyone recognizes by now that most people don't spend time exciting their kids about science, and so the ability to reason and think clearly is declining. Hence, it's forward-thinking for someone with the power and responsibility of the President of the US to increase science and mathematics education. I don't see how any clear-thinking person could be against this.
Simplified models beget simplified thinking.