After I read this was for an application, it occurred to me that you may be missing the point of the assignment. I can't say for certain, because I don't have the requirements in front of me - but at least consider this.
They may not be -just- after seeing how well you can write. Equally likely, they're interested in what kind of person you are. Are you a well-rounded, worldly person and a good critical thinker? Or, have you been living under a rock?
I suppose it depends on what you have to say - but you could write on just about anything as long as you can defend your position. I don't think they'd be judging you on what your opinions are - but rather, whatever they may be, on how well you can defend them.
So I'd suggest not worrying about what they may think of you. If they're objective, they won't care that much.