The Society still maintains that the "King of the North" in the postwar era was indeed the Soviet Union, and continues to teach that the "pushing" represented the Cold War. But the Society has now run out of verses that could be applied to future "changed identities" of the "King of the North", so they are reluctant to identify the new "King of the North" lest the political situation change and they have to identify a new one. This is the perspective in the current Daniel's Prophecy book:
*** dp chap. 16 pp. 280-281 par. 21 The Contending Kings Near Their End ***With the disbanding of the Soviet Union in December 1991, the king of the north suffered a serious setback. Who will be this king when Daniel 11:44, 45 is fulfilled? Will he be identified with one of the countries that were part of the former Soviet Union? Or will he change identity completely, as he has done a number of times before? Will the development of nuclear weapons by additional nations result in a new arms race and have a bearing on the identity of that king? Only time will provide answers to these questions. We are wise not to speculate. When the king of the north embarks on his final campaign, the fulfillment of prophecy will be clearly discerned by all who have Bible-based insight.
There have been unofficial suggestions that the new "King of the North" may be Islam, or the Islamic nations, or something like that, but nothing along these lines has been officially proposed.