Answer:
Here's my rewrite
The Soviet Union is consumed by a new belief, completely opposite to ours; it's goal to force its authority over the rest of the world. Conflict has become common amongst the people, brought by violence and methods other than violence by the Soviet Union. If this conflict becomes total war, everyone faces mass annihilation due to the increasingly terrifying weapons of mass destruction.
And this is the example that Plato gives
Original text:
Second, the Soviet Union, unlike previous aspirants to hegemony, is animated by a new fanatic faith, antithetical to our own, and seeks to impose its absolute authority over the rest of the world.
Rewrite:
Unlike other countries that have wanted power, the Soviet Union is driven by a philosophy that is not at all like that of the United States—the Soviet Union wants to dominate and control the entire world.
Original text:
Conflict has, therefore, become endemic and is waged, on the part of the Soviet Union, by violent or non-violent methods in accordance with the dictates of expediency.
Rewrite:
So, conflict has become an accepted way of life for the Soviet Union, and the conflict is either violent or nonviolent, depending on the desired goals to be achieved.
Original text:
With the development of increasingly terrifying weapons of mass destruction, every individual faces the ever-present possibility of annihilation should the conflict enter the phase of total war.
Rewrite:
Now that atomic bombs have been developed, we must face the possibility of the complete destruction of world if we go to war with the Soviet Union.
Explanation:
Up to you which one you decide to use as an example! ^^