I hope both of you guys get accepted!
It may not even be the same person looking through both of your applications, especially if you are applying for different programs. So I wouldn't be worried about that! And plus, your focus is entirely different. I really don't think it would affect the outcome in any way.
I am kind of in a similar situation too, except it's a friend. We both graduated from the same university, did an internship in a similar organization at the same time, in the same city, and applying to the same MIA program. I was worried but I don't think it should matter. For me, he submitted on the early period while I am just about to submit mine.
Good luck to both of us!