Your projector is having problems re-syncing to the resolution of the player's home screen (probably 1080p). You might try configuring the player so it always outputs 720p so it matches the resolution of your projector.
I'm guessing that to reset the resolution to 720p I would have to be able to access the home screen menu. If so, then even doing that is a problem because all I get is a blue screen. Or, is there another way to do it?
If I were to connect it to another display and set it to 720p would it stay set or would that have to be something I would need to do every time I fire up the blu ray player?
Your solution for my problem did work. I set my players resolution to match the display (720p) and it now goes right to the home page. However, after a few minutes, for instance while I am browsing Netflix, it drops it again. I am able to power down then power on my sony A/V receiver and get it back but it drops it again after a few minutes. This only happens while I am on the Sony blu ray menu. This is not an issue whenever I am playing a disk or when I am watching TV on the cable box.
It might be the player's built-in screensaver, which comes on after the same image is shown constantly for several minutes. Perhaps it's always at 1080p. You might look in the player's menu for a way to disable the screensaver.