Actually, they do, but it's only represented by minor parties like the German Free Democrats.
No, not quite. The FDP supports so-called gay rights (remember that Guido Westerwelle is openly homosexual), only wishes to “reform” welfare rather than abolish it, are pro-”globalization”, do not oppose income tax, are against nuclear power generation, are still mainly pro-EU and for Turkey to join it. And oh yes: they voted against de-Nazification and wanted all war criminals released in the five years after the war ended.