But the question has to be whether these American conservatives are even allowed to be fairly reported in the first place. This has not happened even in America's establishment media (the Washington Times is still much less famous than its liberal counterpart, and FOX's rise is only the matter of the last few years) and often the journalists in these establishments don't even bother reporting their ideas at all. By what chance will these conservatives' stands get reported in the likes of Le Monde or The Spectator in ways other than dog poop?
This has led to an interesting observation: many more Americans (in proportion) also get news info from the net to compare with the networks news and newspapers, something which seems to be much rarer among the average British according to your observation. That's how many Americans come to the conservative stand - they don't complete trust the likes of New York Times, ABC News, NPR et al! Sadly this has not happened to most British people (yet).
I don't think the issue is whether American conservatives have seriously attempted to explain their positions to Britain and Europe - I have seen Jonah Goldberg, Victor Davis Hanson, Charles Krauthammer, David Frum, etc written articles on the international edition of Time, London Times, and Daily Telegraph and articulated eloquently about the American conservative position. It is whether British and Europeans are willing to treat them, and their ideas, seriously at all. If they still adopt the current position of outright dismissal without consideration, it is their own faults, not the American conservatives'.