I'm taking about classic market economics - the demand for such services is going to go up, the relative supply is going to go down, the services are going to become (much) more expensive - what's “Socialism” got to do with it?
And for that matter, it's more often “conservatives” - not “liberals” - who want more government interference in the international labor flows - if your boss would rather hire Pedro for $10.00 an hour to do the job you are doing for $25, classic neoliberal economics says he should be allowed to do, and it makes no distinction between importing Pedro to work here or exporting the work to Pedro – it does not recognize the legitimacy of creating “national” borders to control labor flows.
So it's the people who favor admitting as many low wage immigrants as the economy will absorb who are practicing “free market economics”, and the people who want the government to limit immegration to below market demand who want Federal enforced “central planning” of the labor market.
That the thing about “free markets”: they can be a real bitch if it's your ox that's getting gored.