The Eastern Orthodox Church does not require pacifism from its members. It recognizes that in a fallen world, there are times when a greater evil must be resisted. This is not the same as endorsing violence or war. A peaceful resolution of differences is always the most desirable path.
O Holy Master, Almighty Father and Pre-Eternal God, Who alone made and directs all things; Who rise up quickly against the evil of the impious ones; Who, by Providence, teach Thy people preservation of Justice and the obliteration of the sword on earth; Who condescend to raise up military columns to help the people: O God, Who commanded the Forerunner John to say to the soldiers coming to him in the desert, 'Do not intimidate anyone... and be content with your wages':
We entreat Thee with compunction, that Thou gavest Thy child David the power to defeat Goliath, and as Thou didst condescend, through Judas Maccabeus, to seize victory from the arrogant pagans who would not call on Thy Name; so too, grant protection in righteousness and truth to these Thy servants against the enemies rising against them, and by Thy heavenly loving-kindness, strength and might for the preservation of faith and truth.
Condescend, out of Thy mercy, O Master, to grant them the fear of Thee, together with humility, obedience and good endurance; that they kill no one unrighteously, but rather preserve all righteousness and truth; that they may fear Thee and honor Justice; that they run in friendship to those who are scattered, extending thy love to those near them, serving the elderly with justice; and that their ranks fulfill all things righteously;
For thou art our God, and to Thee do we ascribe glory; to the Father, and to the Son, and to the Holy Spirit, now and ever, and unto ages of ages. Amen.