While the desire on the part of modern conservatives to divorce themselves from ‘neoliberalism’ is understandable enough, the simple truth is that there is a very good and obvious reason why parties on the economic left tend towards being left on culture, too.
And it is simply this: a State which minutely governs the economy is one which minutely governs society as a whole, because economy and society are not in fact separate phenomena, but an integrated whole. This means that if the State is big vis-a-vis the economy, it is going to be big in all areas – and it is going to want to squash or co-opt competing sources of loyalty and authority (like the family, religious and community groups, businesses, etc.) which the right holds dear accordingly.
The truth of the matter, then, is that conservatives and libertarians both fundamentally need the same thing (a small state) and that the ‘left on the economy and right on culture’ meme is just that: a slogan without a genuine cause.