The Howard and Lincoln Theatres: run them like the Pittsburgh Cultural Trust/Playhouse Square Cleveland model
Run them together.
The City Paper had this article, "How Not to Screw up the Howard Theatre," about the Howard Theatre, which has just re-opened, and recently ran these pieces, "Should the District Sell Lincoln Theatre?" and "What’s Next for Lincoln Theatre?," about the Lincoln Theatre, which had received an unsolicited proposal for private management.
Combine the management and operations of the two facilities. In short, run the two facilities together, as part of one management entity.
Yes, there should be a comprehensive cultural plan (e.g., see the past blog entry "Cultural resources planning in DC: In the land of the blind, the one-eyed man is king") but the city is unlikely to do such a crazy, thoughtful thing, and the creation of a similar nonprofit operation in DC is unlikely, at least in the intermediate term.
So in the meantime, get the people running the Howard Theatre to run the Lincoln Theatre...