If I'm thinking this straight you are at the level after going down a stairs right?
If this is correct, if you go to the door, go back to the switch and go now back in time until you reach the door you should be able to make it past the door.
I had a few friend playing this blind and they were able to complete the game, but i will check and see if there's a glicth there somewhere.
This is the level you are talking about right?