I struggle with what will happen when the ASIC's go online for BitCoin. Yes, it'll cause difficulty to increase thus making non-ASIC mining profitable. Or will it? If you have a large number of people taking their GPU hashing power away from Bitcoin to an alt (Litecoin in this case), then you'd assume difficulty will go up, but not nearly as high as some would think.
An example being that you might have a 40Ghash miner spin up and that same person might take their 10Ghash GPU farm off Bitcoin (or offline completely).
All THAT being said, I think you're going to see casual miners probably come over to LTC. The benefit that LTC has going for it compares to most other alt chains in the past is that it's an alt chain that uses different technology from BTC AND it has a widely accepted support. I saw the mention of NMC earlier and I think that's comparing Apples to Oranges since NMC was essentially a clone of BTC with an added twist of serving a technological purpose (if not a very important one).
LTC has stood the test of time and has a decent hashrate behind it (all things considered). I mean, my ballpark is that BTC is 100x faster to mine on my 6870 (300kash/sec vs. 300mhash/sec) so the LTC network (currently at 271mhash) means that it has the BTC equivalent of ~27Ghash/sec behind it. 1% of BTC's total hashing power, but still, impressive none the less!
Your math is a bit messed up and not correct.
BTC is not 100x faster to mine. Your GPU is hashing 800-1000 times faster.
300Kh/s = 0.3Mh/s
3000KH/s = 3Mh/s
30,000Kh/s = 30Mh/s
300,000Kh/s = 300Mh/s
Let's say one good GPU is pulling 400Mh/s
That means BTC network is as strong as 50,000 GPU's (each pulling 400MH/s.)
Same GPU's used for LTC mining would pull ~450KH/s each.
300,000KH/s network is as strong as 650 GPU's
BTC network is 75x times bigger/stronger.