It's people like HST, Kurt Vonnegut, black musicians and writers, directors like Cassavetes and Kazan and such that embedded a dose of realism to the popular narrative. But anything really mainstream was always 80% sugary propaganda.
On the contrary, "anti-government" is the official party line in an era when even the President (Reagan), in his inaugural address says: "Government is not the solution to our problem; government is the problem.""
In the second, the military is actively concealing the existence of live POWs in Vietnam. He ends the movie by threatening a military official.
In neither case can you reasonably call the movie "propaganda", at least not without logic that you could use to connects the dots between any movie, from Bridget Jones Diary to Being John Malkovich, to propaganda.
I'm not arguing that the movies are anti-propaganda. I'd call them neutral in that regard.
There is still a lot of propaganda in media for children. It's just not (obviously) pro government propaganda anymore. But I recall Bubble Guppies including descriptions of police as (my words) grown up hall monitors. No guns. No power of arrest. The monopoly on the use of force is basically the point of police forces. To elide that and teach about sirens and traffic tickets is a bit... overly sanitized.
In US they had Captain America so it balances out.