Well, based on what I have read, the Dutch didn't want much to do with the war at all. The majority of Dutch farmers in Brooklyn at the time just wanted to continue farming, and had no use for the war. They also mainly spoke Dutch and not English. They fell into the camp that was neither Patriot or Loyalist (for the most part) but rather, "neutral."
Thanks Pharmboy! That makes better sense, I had ancestors that fought as patriots from MASS and N.H. but I had a few dutch ancestors that were farmers in the Brooklyn area during that time and I have not been able to find them fighting on either side.