what would happen if right now every asic would simply shut off for 1 month on btc, you'd likely see a huge drop in price to where its worth as much as ltc.
That's not really fair since asics power 99% of bitcoin now. There are no FPGAs or GPUs securing the bitcoin network in any significant numbers.
It will take at least 6 months to a year for this to happen to litecoin, and all other regular scrypt coins.