The way of the American suburb is so different from cities in most of the world that the rest of the cultural differences seem natural. In places with this social bonding arrangements, you have contacts across social strata that fit people and jobs: Your friend's housekeeper is often a great contact for more good housekeeping. They might have friends and family members that need work in other occupations too, and thus entire social groups of people of different social classes bond together. You typically hire the people directly, not through a company, and personal reputation hits ripple through the social network. There might be people in-th-know, which act as brokers for the top opportunities without charging a cent.
I compare that to the American suburban experience, where most people who do manual work are considered too flakey to deal with directly, most tasks are nowhere near enough to count as a full time job, and everything is handled via companies led by people who code-switch. If I need a roofer or a landscaper, I will find few companies led by a mexican, or even someone with mexican ancestry, but their workers are almost assured to be: There's layers of isolation on top of layers of isolation, so you aren't building a relationship with your roofer, your handyman, or your housekeeper. The intermediaries make all of that work exchange have a very different nature.
On top of that, barring a small number of neighborhoods, there's a good chance you'll never see one of those workers outside of the contract, because the housing they can afford, and the housing they can afford, are so far apart you have few reasons to frequent the same establishments. So while places where more people live together might make it easier to see how different social classes are, in the US we might have a larger social distance, but completely hidden by housing. It's not just that the rich American can take their kids to a private school: It's that the way things are set up, the public schools for many a rich American will have few families who aren't rich in the first place, just via suburban zoning.
It's as if different social classes were happy to coexist in many other places, but in the US, they loathe each other, and can only interact via intermediaries.