I have a slightly better plan of action and it relies on the Russians position. When you are about to get up on the stage, where the guy is defending him and the Russian is holding out. Kill the guy and take cover at the end of the stairs. The Russian should then take cover basically right in front of you, If he does not then follow the other solutions.
But with him sitting right there just blind fire, as you would a shielded enemy, and then when the screen gets fuzzy and you have quick movements, then charge him and press "B" to close combat kill him.
BOOM achievement unlocked