The people of New Square and Kiryat Joel have no LEGAL right to tell anyone to OBEY their standards.
If a woman wishes to go into the middle of Kiryat Joel wearing a tank top and shorts there is nothing they can do.
They can ASK people to respect, but nobody is required to listen.
There are different laws appying to Mear Sharim and Bnei Brak and I dont know the exact laws of that country so I wont comment on them