Let me ask you, why do think the the people in the Hamptons really dont want frum Jews moving in? Is because
1) They dont like Hebrew letters and synagogues and the clothing frum people wear? They dont like walking around seeing people with black hats and tzizit?
2) They are worried it will increase traffic somehow?
3) They are worried Jews will cram 3 families into a single person home and ruin the ascetics of the town?
4) Its supernatural yezter-hara antisemitism
Im just trying to get into their mindset. Saying the stores will close on shabbos is obviously nonsense.