Thank you for your post.
At this time, FileMaker Go will not work with Apple's VGA adapter, as it only appears to work with limited Apple applications. At our Developer's Conference last year, special overhead cameras were used to display iPhone and iPad screens.
How can I display my FMGo files onto a projector for the rest of the room to see?
I believe the app restriction on video output was on the original iPad. Filemaker mirrors perfectly on the iPad2 using the Apple VGA adapter. It does not work on the iPhone 4, however.
Mirroring works well under ios 4 and iOS 5
Just did a presentation this weekend with VGA adapter ipad2 and projector
I believe it is also possible using Air to show the IOS devices on a large video monitor, TV, etc. over Wi-Fi.