Most invasive species were brought over by Europeans, so yes, they did have an “immigration program”

Nope. Big difference between bringing over a few hundred Kudzu and they suddenly go buck-wild because the conditions happen to be right, versus having a deliberate sustained immigration program for millions of whites. “Invasive” species never had an immigration program, nothing in the Americas did except for whites and arguably any organism that served them, including enslaved people.

The reason invasive non-human species outcompete is because they’re fitter. The reason humans outcompete each other (especially with colonialism) is because of reasons so convoluted that they rarely have anything to do with biological fitness or niche appropriateness, which is why there’s a bunch of people whiter than sour milk in Tallahassee