GAW: Williamsburg is not exclusively Satmar, there are 2 Satmars in Williamsburg, and Satmar has less than zero interest in building a pool facility. More likely they’d oppose it. So your whole technical scenario is moot.
Please explain to me why Satmar (or Satmars, if you prefer) have no interest in building a pool, but feel the need to pressure politicians into creating separate hours so that the Satmar community can use a pool? I don’t understand; either they have use for a pool or they do not.
Personally, it is sad that you think the Chassidim in the area (Aharonis, Zalmanis, and other sects) couldn’t all get together and build something that could be used by all of them.