Wage suppression has never come from immigration. It comes from shady business practices and a combined effort of the owner class to separate themselves from the working class. Have you not been hearing about record profits every quarter over the past two decades? Costs for everything have gone up in sync, except for the value of your labour, which has lost incredible amounts over the past 30-40 years.
They are taking the food out of our mouths to buy another Lamborghini. Immigration is a small drop in the barrel for why that's happening, but the people who are to blame want you to blame it on immigrants, and not them. You bought it, hook line and sinker. How's it feel to get played?