Since the last close election, who do you think will win the next election?
Since the CDU/CSU is one of the few parties closest to US republican social conservatives in Europe, I hope its them. A US Republican president with a CDU/CSU prime minister would make a great economic team.
There is nothing remotely Republican about Germany's CDU. Even the Bavarian sister party resembles your typical tax-and-spend Vermont socialist better than the Republicans.
The last CDU minister to head off to the US to lend moral support to Bush was the East German Angela Merkel. She was roundly criticized for it by politicians both within her party and without.
And as to social conservatism in Europe: just look at David Duke's website to get a flavor of what passes for 'conservative' across the Atlantic.