While their music may not have been "traditional," there were a number of fresh-scrubbed acts in the 1960's that called themselved "folk" were were certainly not left-wingers. "Up With People" is the first that comes to mind, and I think it's safe to say the new Christy Minstrels fit right in there.
I suppose if you're thinking of protest songs, then you're right in thinking that there are very few right-wing protest songs. There are certainly many patriotic songs that could be considered part of the folk tradition - are they right-wing? There are many songs that praise family tradtions and values - is THAT right-wing? There are songs of hate, and I like to think they die before they become part of the folk tradition - but I hope that's not what you mean by right-wing.
I think there's plenty of music here in our database that would be quite satisfying to people who call themselves political conservatives.
-Joe Offer-