The way they
usually get a job is by first getting higher education in the US, so lying on the resume of any experience abroad doesn't really factor in. The job is mainly on the basis of the domestic education, not the foreign experience. Foreign work experience alone doesn't carry much if any weight for getting employment in the US.
The US is supposed to be a free country without any protected class either way. In the same way that I wouldn't support a protected class for descendants of slavery, I wouldn't for any settlers either.
The hardship faced by immigrants now have to do with with the stability of their visa, which is something that settlers never had to put up with. It is not a joke to be chronically stressed by whether one is at risk of losing one's legal status, also waiting for years for their paperwork to process. These are stresses that people like you and I never experienced first-hand.
I believe in merit-based employment and in training of citizens, without favoritism of any kind. As for work visas, I have already noted that they should be limited to those with a PhD (except for farm labor), and this will eliminate much of job-related concerns that people like you and I might have. Taking extremist ring-wing positions is not only unnecessary, but it opens the door down the road to someone eventually classifying you as not being sufficiently righteous.
Note also that one benefit that citizens already have over visa workers is that citizens have more possibilities for entrepreneurial activities without being encumbered by work restrictions.