East Germany got the smaller slice of the country. It had its reources, but the lion's share of industry, manufacture, and even population and farmland was on the
West half of the country. The West was just bound to be so much richer and stronger than the East.
If you meant in terms of government, secret police, and whatnot, then you may have a point. But North Italy is richer, better developed, has more population, and basically have a better situation than the south. You'll also note a major factor in the Venetian independence movement is that they provide a lot of wealth and industry to the Italian government only for Rome to turn around and waste it on the poorer south, effectively siphoning Venice's treasury they could be using for themselves.
Divided Germany generally regarded the other half as "under foreign occupation", thus not formally recognizing the other state while declaring itself to be the "real" government of Germany. Italy has a weaker centralist belief, meaning the various regions have a slightly stronger tendency to recognize themselves as (for example) Venetians, Sicilians, Sardinians, Romans, etc... than purely Italian. So there's a chance that a Cold War divide may remain even after the curtain falls.