This is a very stupid idea to be completely honest.
Litecoin is even more vulnerable to 51% attacks than Bitcoin. It's difficulty is Way lower, and if you guys haven't noticed, there are Scrypt ASIC. Meaning that the same issues 51% problem for Bitcoin, is also there for Litecoin and it's much easier to successfully 51% attack Litecoin than Bitcoin .
Litecoin is not the silver to anyone's gold, it's simply just another shit alt-coin...with not much of a community(Yes i have an account at litecointalk and there is Hardly any activity there), and absolutely no new features or innovation. Nothing, Nada, zip. Litecoin can be compared to Dogecoin in the lack of innovation and any new features and the constant downfall in price, but even Dogecoin has a robust, outstanding community, while Litecoin's community is more empty than the Saharan Desert.
What you need, is a coin that won't suffer as much from the same 51% attacks that threaten Bitcoin.
Litecoin is definitely not the answer, there's nothing special about it, it's on a decline to 1 satoshi, has no community, and it's 10000000x easier to 51% attack than Bitcoin....
Even if both coins can be 51% attacked, it'd be more difficult to attack both coins at the same time.
If somebody successfully attack Bitcoin, he would need to perform the same attack to Litecoin too, so it's verified. Quite difficult.
Be it Litecoin or another alt coin, I think it's a great idea.