I’m not denying this isn’t a problem all across Europe. A united front on this matter is the only way to solve it.
You are just taking asylum and illegal migration. Legal migration is a huge issue also. But I agree the media focuses on this a lot less and it spinning the narrative. But people want less legal and illegal migration. Legal migration is numerically the larger of the two.
Grouping immigration as all the same is problematic. Separate it by things like country and education and I bet the picture changes entirely.
But everything you said is not the whole picture. People do not want immigration they may produce less crime you might be right. But that’s not the whole picture. It doesn’t mean people want Muslim culture in the UK they want British culture. Immigrants coming over and integrating completely is not the same as generations of people coming over and not integrating.