Finished it a couple nights ago and I've been gorging on spoilercasts, critical responses and now this thread. Love the OP - great work GAF. Haven't read the whole thread, though.
Overall - wow, what an ambitious game. The plot was a bit convoluted and up its own ass there at the end, which made it hard to follow, even though I got more than 65 voxophones. The key point that was lost on me at the time I played the ending was the significance of the severed pinky. I didn't quite get it until I read more of the explainers.
A lot of my criticisms are just echoes of what's already been said even in the last few pages here. Overall I liked the first game much better because it was better suited to the medium and, to me, tried to say something about the nature of games, choice, control, etc. The bottom line for me between the two is this: Infinite could conceiveably be made into a film with more or less the same impact on the viewer at the point of reveal/twist/ending. Bioshock could not be turned into a film and have the same impact on a passive viewer as it does on a player at the point of reveal/twist.
For me, that's it in a nutshell. Not that Infinite is a bad game - at all. Good god, please, let publishers fund more games like this. It's so nice to have a game with a plot you have to chew on, rather than the paper-thin shit that passes for a "story" in most games.