Unless you are a Native American, which make up less than 1% of the population, you came to this country as an immigrant. The vast majority of modern immigrants are coming to the country for a similar reason why people did 100 years ago. Immigration doesn't hurt anything, even if it was the case that it lowered the cost of labor (which it isn't), that would result in a bigger economy with more jobs and employment, which would then result in wages rising again.

Automation and outsourcing are the primary things that have lowered the wages of American workers as it reduced demand for low skill and other manual labor work, not immigrants seeking a better life.