Communities with synagogues, mosques, and same-sex couples expressing the liberal values of diversity and inclusiveness are just as capable of achieving those goals,
Who told you those were exclusively "liberal values"? And what makes you think that "Communities with synagogues, mosques, and same-sex couples" can't be as conservative as any other?
Of course they're "Liberal" values in the political sense. It goes back to the Liberal tenet of "all men are created equal", which, again, proffered the idea of classless society as opposed to a caste system of aristocracy versus commoners. And again, in that sense, being what this country is founded on, we are all Liberals.
There may be a danger in tossing the word "liberal" around as a social value, as opposed to so-called "conservative" social values, in the endless quest to polarize the populace into a dichotomy of two camps permanently at war. That is IMHO another fallout of these misleading attempts to redefine the word "Liberal" into something it isn't.