Being anti-immigration doesn't automatically swing the party to the right. As written on Wikipedia, "left-conservative" is probably the best label.
The Swedish far-left loves to, for instance, brand the governing party in Denmark as far-right, but they are actually also left-conservative.
It is possible (shocker) to be liberal and progressive, whilst also being pro-assimilation, pro-deportation, anti-immigration.
Yes, but the behavior in that quote, cutting social services, is none of the above. Using language associated with far left movements while promoting far right policies leaves you as a far right party.
> Being anti-immigration doesn't automatically swing the party to the right
Literally nothing in the quote I quoted is about immigration (though they hit that checkbox as well and it absolutely does swing you to the right).
By providing free healthcare and dental care or at least reducing out of pocket costs?
USSR notably banned abortions for 20 years under Stalin, and homosexual intercourse for most of its existence.
A very quick search yielded this short clip of Hillary Clinton:
https://youtube.com/shorts/Zsq32nNjNoE (no endorsement of overlays/etc intended, just the first result in the search)