Earlier quoted context omitted.
The battle lines have shifted. It's now nationalism vs. globalism, not conservative vs. liberal. It turns out that the elite, while split between conservatism and liberalism, is firmly in the globalist camp. The people tend to go the other way, especially once the hollow veneer of political correctness is shattered (terrorist attacks, migrant crises, and economic downturns can do that). You're seeing it in Britain, w…
"We just want to preserve our culture" is the loudest racial dog-whistle I know. It's been around since Jim Crow and it looks like it's not going away any time soon.
Here's my reasoning. Immigration has to be at levels, under conditions, and from cultures that are conducive to assimilation. I don't think we have that today, and what's being proposed by the other side is a big step in the wrong direction. Immigration to America works when it's a melting pot. When people are coming to work hard and to earn their own way, not to collect on generous benefits that would make them rich in their home country (edit:[1]). There was a time when a large percent of immigrants went home after a few years because they weren't cut out for America. America does not need millions of low-skill migrants; we already have more low-skilled people than our economy seems to be able to accommodate. Immigration must be for the benefit of the American people, not out of any sense of fairness or duty to potential migrants.
I'm not trying to convince you of my views here, just show you that it's not as simple as calling the other side a bunch of bigots. There's nothing inherently wrong with wanting to preserve your culture or to defend the interests of your nation.
[1] Clarifying in response to rconti below: I'm not saying that most immigrants are necessarily coming with the express intent on cashing in welfare checks. I think a welfare state is just not as capable of successfully integrating immigrants the way America has been able to in the past. I suspect generational poverty among descendants of immigrants since 1965 vs. descendants of those who came in the early 20th century and prior would show that (measuring one, two, three, and four generations out). I could be wrong and even if the statistics are on my side, there's so many confounding factors that I'd hesitate to declare victory on that basis.