First of all let it be known this is the only part of the game I have found difficult.
This fight seems to be inconsistent as one time 1 of the 5 enemies with Deadshot just magically vanished so I was able to do inverted takedowns on all 4 then go to town on him. He takes a hostage and I dont stop him in time so no big deal I start over. Only problem is TWO TIMES IN A ROW NOW. He IMMEDIATELY executes the hostage. This has to be some kind of glitch? I have no idea how I am supposed to prevent that because once you beat him down to the point he gets the hostage the room fills up again with armed enemies sometimes even with a jammer making it even more difficult. He literally just suddenly seems to be immune to stun and runs rigth at the hostage and kills him right away.
I did this about an hour or so. Best case for what I did is when we takes the hostage make sure you go directly for the vents. Be in the vent and get the timing down for the final patrol. I didn't take the time to take them out so I over complicated it. Then just watch him spin around.