At the risk of a warning for going off-topic, I'll answer your question: academia; the media; and Hollywood. I won't comment further for reasons already outlined.
Sorry. I thought your Glasgow, Scotland to be the one in the UK rather than the one in the US.
Academia - No. I'm a British academic. UK academia is in no way controlled by SJWs [You do understand what controlled means?]
The Media. Even if I concede that the BBC has a liberal bias - although it mostly seems to equally upset the left and right at different times - I don't see "control" there. The most popular UK newspapers are the Sun and the Daily Mail. SJW controlled, really?
Hollywood - if you say so. But - I don't consider that an institution as the term is normally used.
Ob RPG reference: Do you think gamers habituation to fantasy worlds makes them more likely to accept ridiculous conspiracy theory versions of the world? Are you sure it's the SJWs controlling those institutions not vampires or David Icke's lizard men?