I was using that as an example, because it's a pretty central point of the different mindsets.
It is literally like the right here is similar to the American left (liberals/democrats). Anything remotely like the Republicans would be not just extreme right, but VERY extreme right here. Here right wing Republicans are mostly viewed as somewhat insane, and there are almost no moderate republicans left, if the image we get from the media can be somewhat trusted.
And yes extreme right does exist, but the equivalent of the 50% rightwing (republicans) in USA, would probably only be 10% of the population in most of Europe.
The differences regard many things for instance the right here still believe in minority rights, healthcare for all, social benefits, environment, abortion rights (except Poland and Hungary), and many other issues. They were simply just too many to mention, so I found your question very strange.
For instance we have basically no climate change deniers here. We also don't have nearly the same extreme Christian right here, that you do in the USA, libertarians are also rare, in USA it's seens as sensible even moderate. Here it's very extreme.
The anti immigrant popularity here has a few reasons. For instance we have many more muslims, and we don't want muslims to become what the Christian right is in USA, also we have way higher social benefits, and we don't want that system stressed and reduced in quality for the rest of us. Muslims haver a very poor adaptation rate. In USA emigrants basically have to adapt or die, they are contractually obligated to not receive benefits.
Still it seems to me the American right is at least as xenophobic as the European.