Regardless of the solutions chosen to make cities a better place, closed borders and immigration quotas are descrimination. People should be treated equally.
Anecdotally, tens of thousands of people have been moving to my city every year for over a decade. The rents have increased dramatically, forcing many out of their homes. Traffic is horrible. A few years ago, a severe drought led to serious water disputes between the city and nearby farmers. We're doing much better now, but another drought will come, eventually, and with all of the extra people, it will surely be worse. At the end of the day, there are only so many folks that an area can support at all, let alone comfortably.
That’s why the Bay Area operates through proxies like building permits and rent control - explicit immigration restrictions are a violation of citizens’ rights and would be easily smacked down in court.
It doesn’t matter how convenient it would be to control migration - if you want to do that, you need to secede. The American community has rights that supersede your neighborhood’s.