So for the United States, it would primarily be family-oriented Spanish speaking Catholics whose kids will be bilingual and grandkids will speak only English? There have been waves of immigrants before where the Irish or Italians or Germans were seen as "invaders" undermining the character of the country. And then their descendants fully integrated and became part of the culture.
Also the US and Western European countries are in much better economic and civic conditions that the immigrants can take advantage of to live better lives and contribute.
Different people are different. Any change in demographics — such as an increase in wealth inequality or number of smartphones — causes a major cultural shift. What is the evidence that this particular cultural shift is very bad?
"major culture shift" != "they will turn your country into the country they fled from".
Regardless, the culture is that of a nation of immigrants. I don't see how anything here can cause major cultural shift away from that. I am willing to bet you won't be willing to elaborate either, so next goal post move please...
Also the US and Western European countries are in much better economic and civic conditions that the immigrants can take advantage of to live better lives and contribute.