Guise, I have an idea.
There are many twatter accounts for "John Galt". Why don't many of us hit these accounts with: "Q is watching you" or "Q says hello" or something that makes the account owner ask the question "Who is Q?".
THEN, we will have a treasure trove of different screen shots of John Galt asking the Q that we can then drop all over twitter–maybe enough different graphic screen shots that it's not worth chasing them with a bot that deletes them.
I just think it'd be funny. Especially if they were dropped on MSM accounts.