I actually have an interesting perspective. I am a Network Engineer for a company which is about 90% immigrant. I don't know what numbers are full citizens or visa's, but I do get to hear a story every day, about their personal history.

There different types of immigrants and based on the many conversations I've had with these very lovely people, you can have a variety of scenarios.

1: Visa holder doesn't much like America, if they hold dual citizenship they may try to have a home in several countries, but it's still taxed in America. Even once they become full citizens there's no law stopping them. They often have to choose rather stay or go, not because American law, but the foreign country has no interest in working with them.

2: Every Visa, or permanent citizen or resident will send a lot of money back to their home country. Many, many thousands. It's just the way it works. America is the land of opportunity, and they won't forget their family.

3: Yes you can bring your family, the US has forms you can fill out and it actually does encourage chain migration if it's immediate family. I don't think there's anything wrong with that, but its a simple reality.

4: Most of them believe in making America great, again. Although they want to help their family in each respective country, they don't plan on leaving once they're here. And they hate illegal immigration.

Take it for what it is, if you want to close the borders and just only hire Americans and have a natural born American workforce, then go for it. But those for this are actually right. My immigrant co-workers tell me that other countries do not work this way most of the time. Getting a job as a foreigner is extremely hard, and getting citizenship is impossible. As a result, other countries have an ethnically pure workforce and this often sounds attractive to isolationists.
I see now, the right has a clear confliction regarding this.
Isolationists want to hire purely natural born American workers, and not embrace others. Often it's suggested that we can take the best and skilled, but if you're a pure isolationist, you will believe the best is right here and it's not necessary. I think the right is going to have a hard time keeping the base happy if the base includes deep isolationists.