I believe John Collins usually sits on the board of admissions at YDS, though last year it was Joel Baden. I'm not sure exactly what the criteria is for getting into YDS, or what the exact connection is between faculty and applications, but I assume there is a great deal of emphasis on your statement of purpose and writing sample. I was accepted to YDS for a concentrated MAR with a BA from a small, private, liberal arts college with a degree in biblical studies. When I applied I had 2 years Spanish/1 year Koine/2 years Biblical Hebrew and a graduated with honors. I also took a year off between BA and MA. YDS does not take GRE scores for the Master's level, so I spent most of my time conveying why I wanted to be there, why I cared about studying in this field, and which professor's work I was most interested in. I also chose a writing sample from my Biblical Hebrew term paper. I also listed every potentially relevant thing on my CV (which looking back was probably overkill), but that at least conveyed where my main interests were and what types of topics I was pursuing.
Also, what is your end goal, if you don't mind my asking?
Hope that helps some!