I disagree with a number of things here.
First off, I don't think that I am obliged to come up with a good term as a condition for objecting to a bad term. In other words, I don't think I need to make a good suggestion as a condition for saying that "anti-immigration people" is a very poor choice of phrase.
I also think that your definition of the word anti-immigration isn't reasonable. There are so many ways to be in favor of immigration that don't involve specifically targeting programmers. I don't really agree that technology companies want to make immigration "easier" in some global sense. They want to be able to hire programmers from overseas (I tend to agree with PG that the "good" employers would be just as happy to hire free residents who can change jobs, though the "bad" employers clearly prefer the indentured nature of the visa and the control it gives them over the would-be immigrant). Regardless, tech companies don't necessarily want to make immigration easier for the millions of people living in the US illegally, or for people from traditionally underrepresented regions who have trouble getting a foothold because our system is based on family reunification.
This particular objection is an important one, because the very narrow definition of this phrase carries a whiff of the argument by ambiguity. You defend the term "anti-immigration people" one way (people who see no reason to specifically tinker with the immigration system to increase the percentage of immigrants who are programmers), but then you get to call them "anti-immigration people" knowing full well that you have brought a much broader (and unwarranted) accusation against them.
Why do you need a term or a label? Why not just explain the point of view that you disagree with (making a sincere effort to represent the argument at its strongest), and explain your disagreement?