Mike, I disagree, at least compared to Europe. The three top-ranked players in the world are American, not just Tiger. Americans have dominated the majors this entire century: they have won 20 of 28. Even leaving out Tiger victories, they have won 10 of 18 during that time.
Top European players play the U.S. tour: they do well but not great. Sergio, Clarke, Donald, Harrington, and Ollie have won a total of one U.S. event this year, despite playing full-time or nearly full-time. This is not all that unusual. Olazabal's last U.S. win came in 2002. Clarke last won in 2003. Harrington has won two events total on the U.S. tour. In over five years of full-time play, Donald has won twice, and one of those was a rain-shortened event. Despite all his potential, Sergio is 41st this year in scoring, 41st in money earnings, has no victories. The entire European squad is 0 for everything in majors this century.
U.S. players can't win overseas? They won 6 of 7 Open Championships of the 21st century. Not counting Tiger's wins there, they won 3 of 4. Europe is batting .0000 during that time, in the major event held in its own back yard.
The real mystery is why the world's three top players are a combined 14-24-5 in the last three Ryder Cups. (14 wins, 24 losses, 5 ties.) Why Tiger Woods is 10-13-2 lifetime Ryder Cup.
This year, for the first time ever, Europe had more depth. Would not have mattered, had America's top players stepped up to the plate. Instead they only won 3 1/2 points of 11. The exact opposite of Euro's top three. That is why America lost: its top players sub-performed.