The original SJW push in the US actually was by social conservatives, arguably the Puritans. In the 20th century they consolidated mostly in the Democratic party. Then the elite Democrats who care about nothing but increasing their wealth and power devised a plot to take over the Republican party by inverting their platform to extreme progressivism and pushing the social conservatives into the Republican party. This way donkeys with elephant masks on could lead all these new rhinos who were confused by their party's sudden change. Now Democrats run both parties.

Conservative SJWs have mostly diffused in recent decades, at least in comparison with the progressives. But they have seen a few resurgences, and right now is one of them.