Properly displaying and dismissing fullscreen MPMoviePlayerController in iOS 3.2 (iPad)

I'm having lots of trouble displaying a fullscreen movie in my iPad app and then allowing the user to dismiss it with either the Done button or the "un-fullscreen" button on the player controls.

Initially I was using MPMoviePlayerViewController for the movie presentation, but I wasn't receiving the enter/exit fullscreen notifications from its MPMoviePlayerController object, so I switched to doing it myself.

I can make the movie appear fullscreen (although the transition is janky), but when either the "Done" or "un-fullscreen" buttons are pressed, no action is taken by the player. I've posted my code below:

- (void)startPlayingMovieWithURLString:(NSString *)movieURLString {
    // I get all of these callbacks **EXCEPT** the "willExitFullScreen:" callback.
    [[NSNotificationCenter defaultCenter] addObserver:self selector:@selector(willEnterFullScreen:) name:MPMoviePlayerWillEnterFullscreenNotification object:nil];
    [[NSNotificationCenter defaultCenter] addObserver:self selector:@selector(willExitFullScreen:) name:MPMoviePlayerWillExitFullscreenNotification object:nil];
    [[NSNotificationCenter defaultCenter] addObserver:self selector:@selector(didFinishPlayback:) name:MPMoviePlayerPlaybackDidFinishNotification object:nil];

    [self.moviePlayerController setContentURL:someExistingURL];

        // "self" is a UIViewController subclass, and is presented as a "fullscreen" modal view controller from its parent
        // I'm setting the movie player's view's frame to take up the full rectangle of my view controller, but really I want the movie to be completely removed when the user presses "done" (that is, removed from the view hierarchy). Not sure when/where to do this.
    self.moviePlayerController.view.frame = self.view.frame;
    [self.view addSubview:self.moviePlayerController.view];
    [self.moviePlayerController setFullscreen:YES animated:YES];

}

And here is the code for my didFinish callback

- (void)didFinishPlayback:(NSNotification *)notification {
        // This ends up recursively telling the player that playback ended, thus calling this method, thus…well you get the picture.
        // What I'm trying to do here is just make the player go away and show my old UI again.
    [self.moviePlayerController setFullscreen:NO animated:YES];
}

So obviously I am doing something wrong but I've been up and down the documentation and I can't figure out how to make the movie just go away. I figured it would be more intuitive than this. What am I doing wrong?