There were attempts to create a unique East German identity, although this was based more on Socialist ideology than on actual regionalism - hence why it disappeared so quickly after the fall of Socialism in Germany. Without that anchor, the East German national identity had little left to sustain it. It had been Socialism that mostly set them apart from their Western neighbor, but a stronger GDR would have been able to inspire more confidence and patriotism amongst its population. For example, Austria. "Austrian" culture really does not start until the early 20th century, but they have managed to remain independent from Germany proper.
If the East German government wants to forge a distinct East German identity to the population, I think they will use Prussian culture and identity (though I know that's so ridiculous, actually). Either with or without socialism.
I sensed that they'll use the Prussian identity in the mid-1970s, IF they're also serious of reforming the economy and opening it up (though limited) to the West. (but first, more reformists and nationalists in the East German government and second, contain the wrath of Kremlin).