while right wingers are more attached to cultural relativism: Judeo-Christian values, muslim values etc.
The perhaps great exceptions to this have been imperialism and more modern attempts by America to export its values. In the debates over intervention in, I want to say, Sudan in the 1880s, Liberals (in the formal party sense) argued against a war of Christianity against Islam in North Africa while Conservatives wanted, of course, to maintain the Empire. In a strange reversal of conventional wisdom, the George W. Bush administration did make the argument that American values could be universalized, and that freedom was something every soul strove for. Liberals on the other hand were forced to argue about the merits of "democracy at gunpoint" and debate sort of got distracted from more conventional arguments (such as whether or not America could even be called a force for democracy). There is a certain sort of conservative arrogance involved in thinking that the "Judeo-Christian West" could march anywhere and remake that place in its own image. In many casses (of course), conservatives themselves, as I'm sure you know, have long derided this approach, but it nevertheless has a historical current.