The argument is not about lawful immigration it is about illegal aliens and ignoring the laws. Asylum does not mean escape from economic distress. Italy and the UK are not third world countries.
There is nothing in your argument that you 'Still do not understand the benefit, if any, of welcoming violent primitives from third world societies. Violence breeds violence?" that makes any reference to the legality of entry. In fact, you have made it clear that you oppose the legal entry of those you refer to as "violent primitives" as well.
And just as Italians have proven their worth despite the involvement of a narrow sliver of their people in violent.organized crime, Latinos and Muslims have proven their worth here as well, through their hard work, their peaceful assimilation into society, and their civic involvement.