Probably, instead, have a stream that does this--so folks who want that can get it and folks who don't won't have to be bothered. And don't allow POSTS to that stream except by Imgflip programmers.
There are 2 issues with the suggestion--probably a lot of folks would not want random things from Politics, Cats, Gaming, Middle School, Racist Jokes, mylittlepony, and the streams that are SUPPOSED TO have ALL marked NSFW (booty, Boobs, MILF, etc.) but frequently have things NOT marked.
Currently there are 66 streams LISTED. The list says it is only PUBLIC streams with a CERTAIN NUMBER OF FOLLOWERS *and* RECENT ACTIVITY.
If they added 1 meme in 10 randomly, it would mean you would have to see 660 memes to see 1 from each stream.