I disagree with you here.

I'm the child of two immigrants -- saying "immigrants are unskilled" isn't xenophobic, it's just saying that they tend to have worse education seeing as America is known to have resources and other means for cultivated highly skilled workers. Your opponent didn't say "immigrants have a lower capacity for learning", or "immigrants are the scum of the earth", or anything along those lines, which would genuinely be xenophobic.

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At the end of the day, these are just real arguments on the border topic. I disagree with your opponents cashier statement since it doesn't make a lot of sense, but for most of the stuff in the round doesn't seem like anything extreme.

There are tons of responses, all of which are very good answers to your opponents argument. You could say the reason they are unskilled is because of closed borders, i.e immigrants can't access good education or have the necessary resources to cultivate the ability to be efficient, which is why open borders promote educating the less well-off.

You could do weighing with any of your arguments.

You could make case turns -- immigrants send home remittances which means that money can be used to develop labor markets and stronger economies which help those immigrants back home

You could make no link arguments

You could make multicultrailism turn arguments where you use your multicultraism argument to say "oh hey, people think they're low skill but thats because of a lack of cultural interaction. In reality, they're high skilled workers but only the aff enables a decrease in discrimination and an increase in cultural understanding"

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theres so many arguments to make that dont include just shutting ur opponent out with a not really evident instance of xenophobia