I think they're pretty right-wing these days. Old Viktor Orban keeps telling the EU to fùck right off rather than accept refugees. Also, they have political posters where George Soros is pulling the strings of his puppets Merkel, Macron, etc.
As to goulash, they would have, had I been mad enough to order such a thing in 30 degree heat. On the first night, I had a duck breast with wild mushrooms on a sort of bubble and squeak thing that was very nice. That was about the richest thing I had there. Oh, and I had a giant Wiener Schnitzel at one point, obvs.