By the way, the "G.I. Joe" comic posted by BarraBa -- with the American soldier literally kicking ChiCom butt -- brings to my mind another very significant point about Hollywood (sometimes) demonizing Russians. Namely:
You guys (meaning ethnic Russians, not all Soviets) are WHITE*!!
And that made Russians highly desirable villains, especially in the second half of the 20th century, as social changes in America made Hollywood increasingly eager to show off its "progressive values", and to move away from the incredibly blatant racism of so many pre-WWII films. (See also: the evilkrautGerman person Hans Gruber in the original Die Hard, and the evil "Seth Effrikaan" in the second Lethal Weapon movie.)
* Well, of course, not counting space-Russians, who often have very dark complexions:
Гхапла!