i think you are seperating cause and effect and give them one direction, where it is a multitude.
We are also doing immugration wrong because of the new power of the right. They want to make things worse, so they can give these as scapegoats. The German Fascist party AfD themselves said, that if it is bad for Germany it is good for them.
If you think supply and demand would just cause wages to rise and things to work out i have two bad news: The first is that the system is getting rigged against the workers, in particular by right and far right parties. They will increase work hours, the retirement age and introduce mandatory “social years” aka forced labor, before allowing their rich donors to have to pay significantly higher wages.
The second is that it doesnt matter if your wage doubles or triples nominally. With less laborers tu support the unproductive elders all we will see is a huge wage and price inflation, until the retirees are priced out of life. Money is just an exchange tool. If the input and outputs of the economy get disbalanced it doesnt matter how much money you assign to it. And all the automation we had so far went fuck all to benefit the workers. Instead it jsut made the rich more rich. That will not change.
Also i dont get why you talk about social issues and think that these are caused by immigration and not by a powerful capitalist elite that is proposing “market based solutions” only when it benefits them and keep the current status quo despite all economic reason. The issues remain the same in countries with low immigrataion and in the countries with higher immigration now they werent better befor either.