I think this thread could use a comment from a current MGIMO student.
MGIMO really does have stellar reputation when it comes to langages - 53 languages are taught, including languages like Africaans, Amharic, Farsi, Thai, etc...
MGIMO also does have a reputation for being the best in Russia in the study of International Relations. The problem here is that the emphasis is more on the study of the history of International Relations than anything else. There are almost no professors working on quantitave methods in IR. And few professors publish in English.
I am not sure what kind of reputation, if any, MGIMO has in the US.