Here's the full fifteen minute E3 demo as we expected for Bioshock Infinite and it is more weird and creepy than the first two minutes. Goes without saying, but don't look if you don't want your experience to be ruined by a spoiler...
There's a pretty 'crushing' story development at the end. There's also - if you look closely - a reference to the ditched title of a George Lucas film. This game is made for Easter Eggs.