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> It's always taken as an axiom by leftists that immigration is an unconditional good, but never actually defended.
I'm not sure that is correct. Before Trump, "left" politicians (in the U.S.) campaigned on controlling immigration and deporting illegal immigrants.
Not a defense, but rather support for your opinion, just take one look at Europe. Previously, they welcomed Syrians and middle Easterners escaping conflict. But in the last years, right wing majorities have emerged and grown based on increased crime and general nuisance, many are now against immigrants. Just yesterday the Danes are insisting on eliminating these nuisance loud "calls to worship" from Mosques. Immigrants that are not really being hired by locals, or not successful starting their own legitimate businesses, too often turn to organized crime - - they have to make a living somehow. Witness the violent protests recently in Ireland against immigrants. Witness all the bombings in Sweden, and of course the rapes of local women. Many of these immigrants come from less lawful countries, where it's often "dog eat dog" for survival.
I don't want to speak for European countries. Never lived there, and I think people living there should be responsible for deciding how they navigate such issues.
In the USA, where I live, there is not much of an ethical or cultural defense to prevent immigration. The dominant culture, white people, are themselves immigrants. To deny others the right to live and work here is selfish at best. If some people are allowed here and some people are not, the only logically coherent next step is to return all land and resources back to Native American hands. If we do not have the stomach for such a bold transition, then the next best thing is to welcome everyone. To do otherwise means allowing and denying people a life here on extremely arbitrary, hypocritical reasons (and usually racist reasons, frankly). So, at least in the USA (and I believe more broadly, North and South America), the political Left must necessarily be pro-immigration if they wish to be anti-racist.
Speaking even more broadly, Leftists have generally be in favor of internationalist cooperation (a la the famous song The Internationale). But how exactly that relates to immigration policies is debatable.
I live in a "white" country and I like my nonwhite neighbors, some immigrant, some nth-generation, even ones who mostly socialize within their ethnic/cultural enclaves. I believe they belong here as much as I do. I don't want to give any money to racists who want to expunge them for some perceived ethnic transgressions. These parties are one step removed from extolling the virtues of the glorious Aryan race, and we all know where that leads.