Are my friends and I too young to go to a nice restaurant in NYC?

I know this might seem like an odd question, but my friends and I are heading to NYC from Toronto this long weekend and we were thinking of spending a little extra on dinner one night to eat somewhere fancy. We were thinking of making reservations at The Beatrice Inn. I know it wouldn't be a big deal in Toronto because the drinking age is 19 and we would be considered adults, but my question is essentially: is it alright for 5 minors to go to a place this fancy?(we're all 19-20) Will we be very out of place? Again, I know this is an odd question I'm just not sure what the common practices are in the states for this situation.