I'm not sure if centre-right is a characterisation you can make of ferengi politics in this way.
I usually associate the left/right distinction as an indicator of mainly economic policy. We know that things like unions, worker rights, etc (leftist economic ideals) have never been big on fereginar. I don't think there's been that big a shift even with union man Rom at the helm.
I think that attitudes towards social issues like women's rights are completely orthogonal to economic ones. It's easy looking at current human political tribalism to group everyone on a left/right binary, but consider that during DS9 Rom, the economic leftist, did not at all like his mother wearing clothes and being open. If anything, the economically right leaning quark was less bothered by it.