Meu google-fu me leva ao The World Next Door de Brad Ferguson. ( Wikipedia , ISFDB )
Não há muito o que fazer, mas os sonhos são mencionados no artigo da Wikipedia.
[Editar] Foi sugerido que eu inclua informações de links. Eu pensei que o link seria suficiente, mas acho que essas coisas podem se tornar obsoletas. Aqui está o resumo do enredo da Wikipedia (a partir de 19 de setembro de 2014) na sua totalidade:
The book takes place in the mid-1990s, at two interlinked alternate realities. In one of them, the Cuban Missile Crisis had escalated into a major nuclear exchange. What was left of the United States disintegrated into numerous virtually-independent enclaves, though President John F. Kennedy is still alive in a bunker somewhere.
Most of the plot centers on Lake Placid, New York and along parts of route 86 where an oasis of civilization was painstakingly built, threatened by a well-organised band of rapacious robbers who claim to be the New York State National Guard.
Meanwhile, the "world next door" which avoided nuclear war in 1962 is going to experience it thirty years later because Soviet premier Mikhail Gorbachev's reforms went wrong in the worst possible way. This war would be much worse than the one in 1962 because nuclear weapons had had thirty years more to become even more highly destructive.
Characters from the first ("1962 War") world keep experiencing in dreams the lives of their analogues in the world threatened now with war. In the end of the book (and pretty much the end of the second world) quite a few people are transported across and given refuge in the "1962 War" world, where meanwhile the "National Guard" robbers had been dealt with rather ruthlessly. (The book's plot is constructed so as to lead the reader to condone the cold-blooded killing of unarmed prisoners, since otherwise the prisoners in question would have escaped and perpetrated terrible atrocities.)