This is a fascinating conversation. As my wife is a legal immigrant and I am the product of legal immigrants, I have seen this same story unfold over many decades. I think what happens is that in the first two decades, the home-sickness is there, and frequent travel back to the "mother/father land" is inevitable. Many if not most of your friends in the USA share your same experience - also immigrants to the USA from your "homeland."
Eventually, one has kids. Those kids grow up in the USA and speak English. The kids can still speak the mother tongue if they try hard and learn, but without 100%-all-the-time practice, English will always be stronger than the mother tongue.
The kids grow, and you make friends with other families here in the USA --- you start to set roots here.
You take family vacations back to the mother/father land, but, over time, you notice things at "home" have changed. It isn't the same "homeland" exactly as you remember. And, of course, your kids feel some kind of cultural connection, but they don't have the same tight connection that you do with the "homeland." They don't have the same nostalgia.
Your kids grow and become young adults. Once your parents in the "homeland" pass, if they have not done so already, a critical bond breaks. Your connection becomes less tight. You also see more changes in the "homeland" and, after perhaps 3 decades away from the homeland, you start to feel a bit like a stranger when you visit the "homeland" because the politics and the culture of the "homeland" have diverged from your memory - it progresses without you.
The decades pass. Maybe 5-6 decades later, you pass yourself, but more likely than not you choose to be buried/cremated in the country that adopted you - the USA. I have seen things unfold along this path and I think it is quite rare that things do not work this way.