This is a terrible idea in my opinion. You're basically using Litecoin to protect Bitcoin(Maybe your business?) from what? ASICs? Double spends? 51% attack? Not only does this make Litecoin a slave to Bitcoin, there's no benefit for Litecoin with this idea.
Sorry Simran, but I disagree with this. This would make Litecoin more widely adopted among Bitcoiners, and thus increasing its value exponentially. I think increasing the value of Litecoin would be beneficial to Litecoiners, no?
I think the problem is that this would be very complicated to implement, not only on a technical level, but also because some of the old school bitcoiners/devs might not be agreeable to turning their competitor into their business partner.
The result wanted for Litecoin can be achieved organically. This modification isn't needed for the result wanted.