I am refinancing someone in Commack now with a larger home, and taxes are around $7500. His neighbor across the street contacted me, and from his escrows, it seems like his taxes around around $8000. Both with STAR. The second house is a cape, around 1400 sq feet, with a finished basement but nothing else unusual other than 2 bathrooms. If you are on a large piece of land, your taxes could be higher. The refinance is on .18 acres, which is, give or take, 60x100. That one is 2000 sq ft, but doesn't have a basement.
Unless as I said you have a large piece of land, or something else unusual like a built in pool, or a large deck that you have a CO for, you should grieve your taxes.