When was the last time an entire industry was nationalized in Europe? I can't even think of a post-WWII example off the top of my head. (I'm sure there are examples, considering the success of Communist parties in some West European countries in the decade after 1945.)
It's true that there are more state-owned corporations in Europe... But some of the largest American corporations are so intricately tied to government deals and lobbying that there's no practical difference. I'm thinking of Lockheed, etc.
Compare Airbus and Boeing. One started as a multinational state-owned consortium created by European governments; the other has always been a private company. But they've ended up in basically the same position -- public corporations propped up by deep government subsidies in various disguises.
American and European capitalism isn't very different at all. Individual liberties are essentially the same with some tweaks. We're much closer than many think.
In the healthcare debate, the American right argued that the national government didn't (and shouldn't) have the power to take certain steps. The European right mostly argues from practical or identity-based reasons. So healthcare controversies involve levels of funding, pay for workers, coverage for refugees, and things like that.
So Scalia agreed that you're allowed to burn a flag in America. That's great -- but how did this ever even become a Supreme Court case? If you burn a flag in Sweden or France, nobody would think to sue you. The fact that this freedom had to be weighed at the highest possible level shows that Americans have serious blind points around their perception of freedom. Similarly, European countries have individual historical taboos on speech, such as the ban on Nazi symbols in Germany.
In the US healthcare debate, the right's constitutional argument seems to revolve around Obamacare's individual mandate -- but that's just is a clumsy artifact of how the system was overlaid on existing pseudo-private healthcare systems. With a properly designed tax-funded public healthcare system, the problem would go away.
So things that seem rather moderate to a European (nationalising some industry) is a brand new thing in the American context.
There are also complexities in that America doesn't really have a clearly defined racial, religious, or ethnic identity. The common identity in America mostly centers around ideas and individual rights, so the American right has much more interest in liberty, relatively, compared to the European right.