I'd like you to actually cite those claims you've made, because so far you've just repeated a lot of nonsense I hear from people that refuse to back up their arguments with empirical evidence.
Immigration is hardly the issue. Low-wage jobs exist because of the lack of labor protections for workers resulting in companies looking for the cheapest and most efficient labor they can, even if it means tapping desperate people who have no other options.
If you want to fix the problem, you start by increasing the minimum wage and having proper healthcare. Any other complaints about illegal immigration driving down wages is in my opinion deflection. Because if you remove illegal immigration, they'll just move to exploiting the next most vulnerable population (prison labor, people with disabilities etc)