In 1979 Fishbeyn was forced to emigrate from the Soviet Union to Israel, for his part in the dissident movement. The limited opportunities for a Ukrainiam poet in Israel forced him to emigrate again, to Germany. There Fishbein worked as correspondent and author in the Ukrainian diaspora magazine "Suchasnist" ("Our times"), Ukrainian and Russian services of Radio Liberty.
After the collapse of the USSR, the poet returned to Ukraine.
Moysey Fishbeyn considers himself to be a Ukrainian nationalist and takes active part in the social and political life of Ukraine. His speech on the requiem-meeting about Holodomor tragedy in 2006 was often cited among the Ukrainians. In March, 2008, the poet received special award from Head of Ukrainian Greek Catholic Church for "zeal for God’s Glory and his great contribution in informing the public of Metropolitan Andrey Sheptytskyi’s and the Ukrainian Greek Catholic Church clergy’s sacrificial efforts to rescue Jews during the Holocaust.
The poet was one of the few Ukrainian authors, presented in the world anthology "Stanzas of the century" published in Russia at the end of 20th century.