Freedom of emigration earned by the Jewish National Movement was granted not only to Jews. This freedom, which the KGB had opposed so strongly, indeed curtailed its intimidating grasp on the general population. If a Soviet citizen knew that ultimately he or she could emigrate from the country, why be so afraid of the KGB?
One may only guess whether the struggle of the Jewish National Movement contributed significantly to the collapse of the USSR.
What do you think?
One thing appears to be clear: no-one just handed Soviet Jews their freedom of emigration or cultural and natural expression. They earned these rights through a joint struggle together with the Western advocacy movement.