Theater in the park

I just thought of a brilliant idea. Someone needs to get together a theater group to do an interactive version of Othello and other Shakespearian plays. They would naturally be amateur actors, someone who doesn't care how royally screwed up their version of Hamlet and other plays become.
The basic premise is this:
1. Perform the play as usual.
2. Allow audience members to shout directions at the actors, especially those that go against the plot.
3. Have the actors improvise their way through whatever horrible direction they've been given, i.e. Romeo decides to live and keep looking for Juliet, Hamlet decides that maybe he should search for more clues before killing everyone, etc.