That's right. They'd do with Q what they did with Data.
A lot of painful expository scenes, for the general audience who doesn't know better. All the "I am an android, I do not understand humor" stuff.
So Q would appear, and a lot of nonsense to explain to the audience what a Q is, what he can do, what his connection to Picard is, yadda yadda yadda.
Almost not worth it to have in the film at that point.