Going bye the usual "latin root" tradition, It's likely be Ideacide as idea is, itself, a latin word. But people always want these thing to sound special so I'm sure it's something else. Idicide, mayhaps?
I'm baaaaaaackAnd here I thought such a heinous act would be more deserving of it's own -cide word.
I suppose cultural genocide would suffice for most usages.
Now I wonder, had Adolf Hitler had heard of memetics, would he have had said something about purging the world of "inferior memes"? The eradication of thoughts, ideas, and beliefs deemed inferior by Nazi standards.
Of course I know he actually did that shit, but he never mentioned "memes". Mainly because the word wasn't coined back in the 1920s. But if it was would he have said it?
edited 20th Feb '15 9:24:29 PM by Worlder
Hitler was extremely keen on the idea of controlling the world through cultural annihilation. The Nazis made deliberate efforts to kill intellectuals, destroy cultural possessions, and wipe out cultural distinctiveness. The aim was not only to kill as many Poles, Russians, and Jews as possible, but also to destroy the concepts of Poland, Russia, and Judaism - so even if any do survive, they can no longer conceptualize who they are or what their countries were.
Schild und Schwert der ParteiThere's a good documentary about Hitler's cultural views, "The Architecture of Doom" which explores the artistic side of the Third Reich.
"All you Fascists bound to lose."I searched Google to see if "eumemics" (eugenics but for memes) is a thing.
edited 21st Feb '15 11:11:24 PM by Worlder
memocide
I joined just so I could answer your question. :)
This is how I found it: http://www.google.com/search?q=censorship+*cide&nfpr=1 (5th page of google results)
See: http://en.wiktionary.org/wiki/memocide
Also: http://www.google.com/search?q=memocide
edited 4th Mar '15 12:24:32 AM by DavidWurn
This reminds me of how newspeak in 1984 is supposed to effectively destroy some ideas by making them impossible to be expressed. I don't remember if Orwell coined a specific word for that, though.
Whatever your favourite work is, there is a Vocal Minority that considers it the Worst. Whatever. Ever!.

The act of wiping out an specific idea, culture, or belief.
I know it has the suffix -cide.
edited 20th Feb '15 6:31:56 PM by Worlder