Well, exactly. They tried to indoctrinate kids not to take drugs and it failed miserably. So the claim that it’s super easy for the government to shift culture seems wrong, no?
In the US, dependent on location, a person may be living under several different governments.
Governments recognize and/or create holidays, and holidays can go on to be cultural events.
Governments organize and finance festivals and events, which can and do become culture of a place or people.
They built statues, museums, parks, libraries, theatres, etc; all with several different levels and layers of culture.
You'd need to start defining parameters of what is a government, what is a culture shift, etc.
That doesn't mean they can't, won't, and don't, shift cultures in many other ways.