I think that Lord Krishna's supremacy has been proved when he revealed the universal form that includes Lord Brahma & Lord Shiva.
Astronomical datings based on the Mahabharata has been put to 5000 years. So if the Mahabharata have really occur, that means the Bhagavad Gita is also true & it happened during the war. I have realised that most of the sayings in the Bhagavad Gita is really true. This + many more scientific prove have strengthen by faith in Lord Krishna & I now believe that Lord Krishna is the Supreme Personality of Godhead.