Hey Sahilbryan, I graduated from a not very well known school also, but I can tell you that really will not stop you from where you wanna go. Yes, it may take you a little extra work, but the key is once you get in (and you will, because the IB sector is growing so fast, they need more and more people every day), it is all about your performance, not what school you graduated from. I have Ivy leaguers working for me now.
To get in though, you will need to throw out feelers right now, and do not stop with one firm. There are a lot of IB firms out there that are looking (JPM, Lazard, GS, MS) and odds are some will respond and give you a second look. And then just blow them away with what you have when they do. Thats what I did.

And I know where University of North Texas is. Not a top tier school, but is fairly well reputed.