if NYU is your #1 choice and you are absolutely sure you want to go there (and have gone on a tisch-specific tour, maybe spent a night, talked to students/profs, etc.)then there is no reason you shouldn't do ED.
what's the best that could happen? you get into your first choice school and you don't have to do the whole big decision stressing in april/may.
what the worst that could happen? you don't get in. but that could happen even if you didn't do ED.
and yeah, it's possible that they might have more connections and/or be more talented than you are...but that's possible anywhere. you also have to remember that NYU has very high academic standards that some of them may not come close to meeting.
if you love NYU THHAAAATTTTT much, just do it!! take a risk!!!!! see what happens!!!!!
"grace, you're stuffed in a box getting rid of ass plaque. let's face it, this evening is a bust."