The "latinos" who live in the USA, it seems so. At our own countries it seems the tendency has shifted to the left side of the spectrum - Chile, Argentina, Colombia and Brazil had recently elected left-wing governments.
The US conception of "left" and "right" doesn't map neatly onto other countries to begin with, but there's still some clarification needed.
Latino Americans are still overwhelmingly left-of-center (though perhaps not likely to be left enough to be "leftist").
The shift to the right has been relatively small (though consequential due to geography) and limited to certain groups. For example, Cuban Americans in Miami are much more likely to have moved to the right.
It always amuses me to see how left and right differ between nations.
US conservatives are protesting and restricting immigration when in New Zealand, the conservatives are wildly pro immigration. Their argument is that it drives house prices up and wages down when you've got more people flooding in. If you're a land and/or business owner, that's what you vote for. The left wants less immigration so workers and renters have more negotiating power.
In Canada I think it's pretty even split; as much as we have a "left" and "right", I don't think the left or the right have strongly different views on immigration. We are bringing in immigrants at a massive clip though, and progressives are noting that the cost of living keeps increasing while wages stay the same, leading to a lot of hardship for people who haven't already accumulated wealth.
There may be conservatives who oppose immigration out of xenophobia, but there are many conservative business owners who see immigration as a way to keep paying a less than living wage, and landlords who see it as a way to keep the demand for rentals (much) higher than the supply
There is still some of that alignment in the U.S., but it’s not the dominant one currently. Wealthier & business-oriented conservatives tend to be pro-immigration, e.g. the influential conservative think-tank Cato Institute is solidly pro-immigration [1,2]. But the more nativist Trump-style conservatives clearly have more power than them post-2016. On the left, the AFL-CIO labor federation has historically been skeptical of immigration (and free trade) for basically the same reasons the businesspeople support them (belief that it will push down wages). Though the labor movement is somewhat more supportive of immigration in recent years.
