McLean Ave. is the main Irish thoroughfare, with many in the area being from Ireland. The Butcher's Fancy is a good butcher/all around Irish goods store.
Yeah, he does romanticize. The episode was just very centered, IMO, on finding one spot from each Caribbean island plus Mexico. It fed the stereotype that The Bronx is a hispanic/black only enclave of NY, and only poor, with plenty of hard times for everyone. Their food isn't my cup of tea, but there's also a huge Orthodox Jewish population in the West Bronx. And Italians around the Arthur Ave. area that's famous for the food, plus more in City Island. Yeah, we're the birthplace of hip-hop, but there's so much more here, and as that proud NYer, he should know that. That episode was "South Bronx". When he did Queens on No Reservations, he similarly focused on the Asian sections, but at least he went elsewhere. I mean, Queens IS huge, you can't cover it all in an hour.